5 4a Slope Intercept form
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This document provides a lesson on slope-intercept form of a line. Slope-intercept form is represented by the equation y = mx + b, where m is the slope and b is the y-intercept. Given the slope and y-intercept, you can write the equation of the line and graph it. You can also determine if a given point lies on the line by plugging it into the equation - if the left and right sides are equal, the point is on the line. The lesson explains how to identify the slope and y-intercept from an equation, write the equation given slope and y-intercept values, and check if points are on lines.
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The document discusses linear equations and slope. It covers plotting points on a coordinate plane, calculating slope using the rise over run formula, writing equations in slope-intercept form, and graphing lines by making a table or using the slope and y-intercept. Methods are provided for determining the equation of a line given two points, the slope and a point, or by finding values from a graph.
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Algebra 2 Section 1-4
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Writing linear equations KG Math Middle School
The document provides information about graphing and writing linear equations in slope-intercept form (y=mx+b). It defines slope and y-intercept, and explains how to graph lines by using the slope and y-intercept. It also demonstrates how to write an equation of a line when given the slope and y-intercept, a point and the slope, or two points. Key steps include finding the slope using the formula (m=(y2-y1)/(x2-x1)), setting up and solving equations to find the y-intercept, and plugging the slope and y-intercept into the slope-intercept form to write the equation.
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The document discusses linear equations and slope. It covers plotting points on a coordinate plane, calculating slope using the rise over run formula, writing equations in slope-intercept form, finding the x- and y-intercepts, and graphing lines by making a table or using the slope and y-intercept. Methods are provided for determining the equation of a line given two points, the slope and one point, or from a graph.
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.
Unit 6.1
The document provides examples for writing linear equations in slope-intercept form (y=mx+b) given different representations of a line:
1) Given the slope (m) and y-intercept (b), write the equation.
2) Given a graph of the line, calculate the slope and y-intercept to write the equation.
3) Given the coordinates of two points on the line, calculate the slope and use it to write the equation.
4) Given an equation and a point that the line passes through, solve for the missing slope (m) or y-intercept (b) value.
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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.
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February 18 2016
The document discusses various formulas used to represent lines in the coordinate plane, including:
- Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
- Point-slope form: y – y1 = m(x – x1), where (x1, y1) is a known point on the line and m is the slope.
- Standard form: Ax + By = C, where A, B, and C are constants and A and B cannot both be 0.
It provides examples of writing equations of lines in different forms given information like the slope, a point, or the graph of the line. Converting between
Linear equations part i
The document provides an overview of key concepts for linear equations including plotting points, finding slopes, graphing lines using the slope-intercept form, determining the equation of a line given two points, and assigning practice problems. Key steps include calculating slope as rise over run, writing equations in slope-intercept form, making a table of x-y values to graph lines, and using two points to find the equation of a line.
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This document discusses writing linear equations in slope-intercept form and point-slope form by given information such as the slope, y-intercept, or two points on the line. It provides examples of finding the equation of a line given its slope and y-intercept, two points, or one point and the slope. The key methods covered are using the slope-intercept form y=mx+b and point-slope form y-y1=m(x-x1).
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The document discusses graphing lines using slope-intercept form. It provides examples of finding the slope and y-intercept of lines given their equations or points on the line. It also gives examples of writing equations of lines given the slope and y-intercept or a graph of the line. Finally, it discusses parallel lines and how they have the same slope.
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