Writing y - mx + b slope intercept dorm.ppt
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The document explains how to graph lines using slope-intercept form, given by the equation y = mx + b, where m is the slope and b is the y-intercept. It provides examples of finding slopes and y-intercepts for various linear equations, as well as instructions for graphing these lines on a coordinate plane. Additionally, it discusses the condition for lines to be parallel, which is based on them having the same slope.
Writing y - mx + b slope intercept dorm.ppt
- 1. Graphing Lines Using Slope Graphing Lines Using Slope Intercept Form Intercept Form Goal: Graph lines in slope intercept form.
- 2. Slope-Intercept Form of the Linear Equation y = mx + b m = slope b = y-intercept Any linear equation which is solved for y is in slope-intercept form.
- 3. Find the Find the slope slope and and y-intercept y-intercept of the of the following linear equations: following linear equations: y = 3x + 4 m = 3 b = 4 y = -2x - 1 m = -2 b = -1 y = x - 9 4 m = b = 9 4 -2 1 -2 -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 m = , b = 5 y = 2x - 3 2 3 2 5 3 y x
- 5. +3 +2 -3 Graph the following linear equation using slope and y-intercept. x y 1) Find the slope and y-intercept. Steps 2) Plot the y-intercept. m = 2 3 or m = -2 4) Draw line through points. y x 2 3 1 3 2 m b 1 3) Plot the slope. -2 -3
- 6. +1 -3 Graph the line which passes through Graph the line which passes through (-2, 1) and has a slope of (-2, 1) and has a slope of -3 -3. x y 1) Plot the point. Steps 2) Write slope as fraction and count off other points. m = -3 = -3 1 or m = 3 -1 3) Draw line through points.
- 7. +4 +3 Graph the line which passes through (3, 2) and has a slope of . x y 1) Plot the point. Steps 2) Write slope as fraction and count off other points. m = 3 4 or m = -3 -4 3) Draw line through points. 3 4
- 8. Write a linear equation in slope-intercept form to describe each graph. y = mx + b x y x y b = 3 m 2 1 y = 2x + b = -4 3 1 m y x 1 3 4 4 8 -6 2
- 9. Parallel Lines Graph the following on the coordinate plane. y x 1 2 3 y x 1 2 1 m 1 2 b 3 m 1 2 b 1 x y Parallel lines have the same slope.
- 10. -3x -3x Tell whether the lines below are parallel. 1) 3x + y = 7 y = -3x + 1 y = -3x + 7 m = -3 y = mx + b m = -3 Lines are parallel! Same slope!