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4.7 Graphing Lines Using Slope Intercept Form

4.7 Graphing Lines Using Slope Intercept Form. Goal: Graph lines in slope intercept form. Slope - Intercept Form of the Linear Equation. m. b. y = m x + b. = slope. = y-intercept. Any linear equation which is solved for y is in slope - intercept form.

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4.7 Graphing Lines Using Slope Intercept Form

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  1. 4.7 Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

  2. Slope-Intercept Form of the Linear Equation m b y =mx +b = 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 = -2x -1 y = 3x + 4 m =-2 b =-1 m = 3 b = 4 -2 1 y = x - y =5x 9 4 -2 -1 m = m = 5 b = 0 b = 9 4

  4. Write a linear equation in the form y = mx + b given the following. m = 2, b = -3 y = 2x- 3 m = , b = 5

  5. Graph the following linear equation using slope and y-intercept. Steps y 1) Find the slope and y-intercept. +3 +2 x 2) Plot the y-intercept. -2 3) Plot the slope. -2 -3 2 m = or m = -3 3 4) Draw line through points.

  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 m = -3 x -3 = 1 3 +1 or m = -1 3) Draw line through points.

  7. Graph the line which passes through (3, 2) and has a slope of . 3 4 Steps y +4 1) Plot the point. +3 2) Write slope as fraction and count off other points. 3 x m = 4 -3 or m = -4 3) Draw line through points.

  8. Write a linear equation in slope-intercept form to describe each graph. y = mx + b y y 8 x x -6 2 4 b = -4 b = 3 y =2x +3

  9. Parallel Lines Graph the following on the coordinate plane. y x Parallel lines have the same slope.

  10. Tell whether the lines below are parallel. 1) 3x + y = 7 y = -3x + 1 -3x -3x m = -3 y = -3x + 7 y = mx + b Same slope! m = -3 Lines are parallel!

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