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The document discusses slope and how to calculate it. It provides examples of slope in building roofs, hiking hills, and graphing linear equations. It emphasizes that slope is rise over run, where rise is the vertical change and run is the horizontal change between two points on a line. Instructions are given to find the slope of a line by taking the vertical and horizontal differences between two points and writing the ratio as a fraction.
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Linear equations lesson 8 day 2 graphing linear equations
Linear equations lesson 8 day 2 graphing linear equations
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January 22, 2015
The document provides a warm-up section with 4 math problems and a test review section with additional math problems and graphs. It summarizes as follows:
1) The warm-up section contains 4 math problems involving simplifying expressions, sharing money in a ratio, adding fractions, and determining probabilities.
2) The test review section provides additional problems on graphing lines, interpreting slope and y-intercepts, comparing options with different costs structures, and using point-slope form to solve a problem about a roller coaster ride.
3) Graphs are presented showing pricing options and the path of a roller coaster to illustrate the concepts of slope and y-intercept.
Slope power point grade 8
Slope measures the steepness of a line and is calculated as the rise over the run between two points on the line. Slope is defined as the change in the y-values divided by the change in the x-values and is represented by the letter m. A line's slope does not change based on the two points used in the calculation. Vertical lines have undefined slopes, horizontal lines have a slope of zero, and all other non-vertical lines have a constant slope that can be found graphically, using a table, or using two points on the line.
Algebra ppt
Slope is defined as the ratio of vertical rise to horizontal run between two points on a line. It can be positive, negative, zero, or undefined depending on the orientation of the line. No matter which two points are chosen on the same line, the slope will remain constant. Slope is important in graphing lines and understanding their steepness and direction.
Week 1 discussion : Systems of linear equations
Read the explanation in each lesson carefully, then study the examples given before
doing the exercises.
4 5 slope
The document discusses slope and how it can be used to help a pilot adjust their flight path to clear an obstacle like a mountain. It defines slope as the ratio of the rise (vertical change) over the run (horizontal change) between two points on a line. By communicating the required slope to the pilot, the person could tell them how much they need to change their altitude relative to the distance they need to travel horizontally in order to safely pass over the mountain without crashing into it.
3.3g
This document discusses slopes of lines and their uses in transportation. It provides formulas and examples for calculating slopes from two points on a line. Key points made include:
1) The slope of a line is the ratio of its vertical rise to its horizontal run and indicates whether a line rises, falls, or is horizontal.
2) Parallel lines have the same slope, while perpendicular lines have slopes that multiply to -1.
3) Slope can be used to identify the rate of change in various contexts like increasing sales over time.
2.2 slope
1. The document discusses slope and rate of change, including how to calculate slope from two points on a line and how to interpret positive, negative, zero, and undefined slopes.
2. It provides examples of finding the slope of lines from graphs and points, and discusses how to identify parallel and perpendicular lines based on their slopes.
3. The key concepts are how to determine the steepness of a line from its slope, and that parallel lines have the same slope while perpendicular lines have slopes that are opposite reciprocals.
Slope & y intercept
This document provides instruction on calculating and identifying slope. It discusses slope as rise over run, and how to determine if slope is positive or negative depending on the direction of the line. Students are guided to draw lines with given slopes on graph paper and identify slopes of lines by making points where the line intersects the grid, then calculating the rise over run.
WRITING AND GRAPHING LINEAR EQUATIONS 1.pptx
The document discusses linear equations and graphing linear relationships. It defines key terms like slope, y-intercept, x-intercept, and provides examples of writing linear equations in slope-intercept form and point-slope form given certain information like a point and slope. It also discusses using tables and graphs to plot linear equations and find slopes from graphs or between two points. Real-world examples of linear relationships are provided as well.
Lines and Slopes
This document provides instructions on graphing lines and calculating slope. It explains that to graph a line, two points are needed that satisfy the line's equation. John graphs lines by finding x-y coordinate pairs that satisfy equations like 3x + y = 9 and y = 2x - 4. The document also defines slope as the rise over the run, or the change in y-values divided by the change in x-values. John calculates slopes by finding the change in y-coordinates and x-coordinates between two points on a line and plugging them into the slope formula. With his new understanding of lines and slopes, John is now able to catch flies with his tongue.
Line and Slope
This document provides a lesson on lines and slopes. It explains how to draw a line by graphing points and introduces the concept of slope, including how to calculate slope using the rise over run formula. Examples are provided of graphing lines from equations and finding the slope between two points on a line. The lesson concludes that John has learned how to draw and analyze lines, allowing him to use his new knowledge to catch flies with his tongue.
Lines and Slopes
This document provides a lesson on lines and slopes. It discusses drawing a line by graphing points, calculating slope using the formula of rise over run, and finding slopes of different lines. John uses his knowledge of lines and slopes to help catch flies with his tongue. The document includes examples of graphing lines from equations and calculating the slope between two points on a line.
Coordinate Plane 2.ppt
This document provides an overview of linear equations and graphing lines. It covers basic coordinate plane information, plotting points, finding slopes, x- and y-intercepts, the slope-intercept form of a line, graphing lines using tables and slope-intercept form, and determining the equation of a line given different information like two points or a slope and point. The assignments section indicates students will apply these concepts to practice problems.
57835174 strategic-intervention-materials-in-mathematics-i-slope-of-a-line
1) The document discusses finding the slope of a line passing through two points. It defines key terms like slope, rise, run, and provides examples of calculating slope given two points on a line.
2) The slope of a line is calculated by taking the difference of the y-coordinates (rise) and dividing it by the difference of the x-coordinates (run). Several examples are shown of calculating the slope given two points.
3) Activities are provided for students to practice finding the slope of lines passing through given points, as well as word problems involving slope. Reference information on slope is also given.
Slop lecture
Slope describes the steepness of a line and is defined as the rise over the run between two points on a line. It can be positive, negative, zero, or undefined. To determine the slope of a line, two points are identified and the change in y-values (rise) is divided by the change in x-values (run). The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. To graph a line using slope-intercept form, the y-intercept is plotted and then additional points are determined by applying the slope using rise-over-run from the previous point.
Slope & y intercept
This document provides instruction on calculating and identifying slope. It begins by explaining that slope measures the rise over run of a line and is represented by the letter m. It then gives examples of positive and negative slopes and has students practice drawing lines with given slopes on graph paper. The document emphasizes that slope is an important concept tested on the California High School Exit Exam and provides strategies for identifying slope from a graph using grid lines to find the rise and run and make calculations.
Slope of a Line SIM.docx
1) The document discusses finding the slope of a line passing through two points. It provides the definition of slope as the ratio of the rise over the run between two points on a line.
2) It gives the algebraic formula for calculating the slope as m = (y2 - y1) / (x2 - x1), where m is the slope and the subscripts 1 and 2 refer to the x- and y-coordinates of the two points.
3) Several examples are shown of calculating the numeric value of the slope given two points on a line.
Question 2 Solution
The document provides step-by-step instructions for performing four transformations on a graph: stretching vertically, stretching horizontally, translating vertically, and translating horizontally. It then discusses drawing the absolute value and reciprocal of the transformed graph. The transformations are applied to the original function g(x) = 2(x-1)2 - 4 to arrive at the final functions h(x) and 1/2(x-1)2 - 4.
8.3 Slope And Y Intercept
The document discusses slope and the slope-intercept form of linear equations. It defines slope as the ratio of the rise over the run between two points on a line. Slope can be calculated using two points or using the difference of the y-coordinates over the difference of the x-coordinates. Horizontal and vertical lines have special cases for slope calculations. The slope-intercept form is defined as y=mx+b, where m is the slope and b is the y-intercept. Using this form, lines can be graphed by plotting the y-intercept and using the slope to find the second point and draw the line.
identities1.2
The document discusses the concept of slope and how it is used to describe the steepness of a line. It defines slope as the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. Several forms of linear equations are presented, including point-slope form, slope-intercept form, and standard form. Relationships between parallel and perpendicular lines based on their slopes are also described. Examples are provided to demonstrate finding slopes, writing equations of lines, and determining if lines are parallel or perpendicular based on their slopes.
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57835174 strategic-intervention-materials-in-mathematics-i-slope-of-a-line
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4[1].4central Tendencies
The document discusses employee absences and how statistics can be used to analyze absence data. It notes that 40% of illness-related absences occur on Mondays and Fridays, potentially reducing workplace effectiveness. It asks how a boss would feel about this statistic and notes that only 2/5 of absences occur at the start and end of the work week. The document also provides an overview of measures of central tendency, including mean, median, mode, and range.
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2 5math Laws
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