Graphing lines using slopeintercept
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This document provides information about graphing lines using slope-intercept form. It defines slope-intercept form as y=mx+b, where m is the slope and b is the y-intercept. It shows how to find the slope and y-intercept from linear equations in various forms and how to write equations in slope-intercept form. It also demonstrates how to graph lines by plotting points using the slope and y-intercept. Key steps for graphing include finding the slope and y-intercept, plotting the y-intercept, using the slope to determine other points, and drawing the line through the points. The document also discusses parallel lines as those with the same slope.
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The document provides instructions for writing and graphing linear equations in slope-intercept form (y = mx + b). It defines key terms like slope (m), y-intercept (b), and parallel lines. Examples are given for writing equations from slope and y-intercept, graphing lines on a coordinate plane, and determining if two lines are parallel based on having the same slope. Key steps are outlined for graphing a line passing through a given point with a given slope.
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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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This document discusses linear equations and slope-intercept form. It provides examples of:
1) Finding the slope and y-intercept of linear equations in slope-intercept form like y = 4x + 2.
2) Writing equations of lines given the slope and y-intercept, such as an equation with m = 3 and y-intercept of 7.
3) Finding the slope and y-intercept from two points on a line, then writing the equation in slope-intercept form.
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The document provides examples of calculating slope from graphs and points. It defines slope as "rise over run" and discusses identifying lines with positive, negative, or zero slopes from graphs. Several examples are given of calculating the slope of lines from their graphs or from two points on each line. Slopes are calculated using the formula: Slope = (y2 - y1) / (x2 - x1).
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This document provides instruction on writing and graphing linear equations in slope-intercept and standard form. It includes examples of finding the slope and y-intercept from an equation in slope-intercept form, writing an equation given the slope and y-intercept, graphing lines from their equations, finding x- and y-intercepts to graph in standard form, and transforming between the two forms. Students are provided practice problems to complete for homework.
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The document reviews slope and the slope-intercept formula y=mx+b. It provides examples of finding the slope and y-intercept of various lines given their graphs or two points on the line. It also demonstrates how to write the equation of a line given two points and how to find the x- and y-intercepts of a line given its equation.
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The document provides examples and practice problems for writing equations of lines in slope-intercept form (y=mx+b) by given the slope and y-intercept or two points on the line. It demonstrates how to find the slope from two points, the y-intercept from the slope and a given point, and how to write the final equation. Multiple examples are worked through step-by-step for writing equations of lines from their graphs, slopes, y-intercepts and point pairs.
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The document provides instructions for writing and graphing linear equations in slope-intercept form (y = mx + b). It defines key terms like slope (m), y-intercept (b), and parallel lines. Examples are given for writing equations from slope and y-intercept, graphing lines on a coordinate plane, and determining if two lines are parallel based on having the same slope. Key steps are outlined for graphing a line passing through a given point with a given slope.
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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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This document discusses linear equations and slope-intercept form. It provides examples of:
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The document provides examples of calculating slope from graphs and points. It defines slope as "rise over run" and discusses identifying lines with positive, negative, or zero slopes from graphs. Several examples are given of calculating the slope of lines from their graphs or from two points on each line. Slopes are calculated using the formula: Slope = (y2 - y1) / (x2 - x1).
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3) Writing linear equations given two points or given a slope and point.
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.
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
12 LINEAR EQUATIONS.ppt
This document discusses writing equations of lines given different information. It explains how to write the equation of a line given the slope and y-intercept, slope and a point, or two points. It also covers determining if two lines are perpendicular or parallel based on comparing their slopes. Examples are provided for writing equations of lines and determining if lines are perpendicular or parallel.
Equation of the line
1. The document discusses various forms of linear equations including general, two-point, intercept, point-slope, and slope-intercept forms.
2. It provides examples of writing equations in each form given specific information like two points, an x-intercept and y-intercept, a point and slope, or just a slope and y-intercept.
3. Guided practice problems are included for writing equations parallel or perpendicular to a given line.
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Graphing lines using slopeintercept
- 1. Graphing Lines Using Slope I http://www.mathsisfun.com/graph/straight_line_graph.html
- 2. Slope-Intercept Form of the Linear Equation y=m +b mx = slope = y-intercept Any linear equation which is solved for y is in slope-intercept form.
- 3. Find the slope and y-intercept of the following linear equations: y = 3x + 4 m=3 b=4 -2 x - 1 y= 9 4 -2 b = -1 m=9 4 y = -2x - 1 m = -2 b = -1 y = 5x m=5 b=0
- 4. Write a linear equation in the form y = mx + b given the following. m = 2, b = -3 y = 2x - 3 2 m= ,b=5 3 2 y = x+5 3
- 5. Graph the following linear equation using slope and y-intercept. 2 Steps y= 3 x −1 y 1) Find the slope and y-intercept. 2 b = −1 m= +3 3 +2 2) Plot the y-intercept. 3) Plot the slope. 2 or m = -2 m= -3 3 4) Draw line through points. -2 -3 x
- 6. Graph the line which passes through (-2, 1) and has a slope of -3. Steps y 1) Plot the point. 2) Write slope as fraction and count off other points. -3 -3 m = -3 = 1 3 +1 or m = -1 3) Draw line through points. x
- 7. Graph the line which passes through (3, 2) and 3 . has a slope of 4 Steps y +4 1) Plot the point. 2) Write slope as fraction and count off other points. 3 m= 4 -3 or m = -4 3) Draw line through points. +3 x
- 8. Write a linear equation in slope-intercept form to describeyeach graph. y = mxy+ b 8 x x -6 2 m= 1 4 b=3 y = 2x + 2 b = -4 1 m= −3 1 y = − x −4 3
- 9. Parallel Lines Graph the following on the coordinate plane. y 1 1 y = x −1 y = x−3 2 2 1 1 m= m= x 2 2 b = −3 b = −1 Parallel lines have the same slope.
- 10. Tell whether the lines below are parallel. 1) 3x + y = 7 -3x -3x y = -3x + 7 y = mx + b m = -3 y = -3x + 1 m = -3 Same slope! Lines are parallel!