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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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