1. Graphing Lines Using Slope 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. Graph Which graphing method is easiest? Using slope and y-intercept (or t-table)! These notes will graph using m and b m =, b = 2

4. Review: Graphing with slope-intercept 1.Start by graphing the y-intercept (b = 2). 2.From the y-intercept, apply “ rise over run ” using your slope. rise = 1, run = -3 3.Repeat this again from your new point. 4.Draw a line through your points. 1 -3 Start here 1 -3

5. Which is the graph of y = x + 2? 1.. 2.. 3.. 4..

6. Find the slope and y-intercept of the following linear equations: y = 3x + 4 m = 3b = 4 y = - 2x - 1 m = - 2b = - 1 y = x - 94 m = b = 9 4 -2-2 1 -2-2 -1 y = 5x m = 5b = 0

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

8. +3+3 +2+2 -3-3 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 = -2-2 4) Draw line through points. 3) Plot the slope. -2-2 -3-3

9. +1+1 -3-3 Graph the line which passes through (-2, 1) and has a slope of -3 Graph the line which passes through (-2, 1) and has a slope of -3. x y 1) Plot the point. Steps 2) Write slope as fraction and count off other points. m = - 3 = -3-3 1 or m = 3 -1 3) Draw line through points.

10. +4+4 +3+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 = -3-3 -4-4 3) Draw line through points. 3 4

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

12. The y-intercept is – 2, so plot the point (0, – 2) where the line crosses the y -axis. The equation is already in slope- intercept form. Graphing with the Slope-Intercept Form S OLUTION Graph y = x – 2 3 4 Draw a line through the two points. The slope is, so plot a second point on the line by moving 4 units to the right and 3 units up. This point is (4, 1). 3 4 (4, 1)(4, 1) (0, – 2) 3 4 (4, 1).