This document discusses graphing linear equations using the slope-intercept form. It explains that the slope-intercept form gives the y-intercept and slope, allowing you to graph the line without making a table of points. You plot the y-intercept on the y-axis, then use the slope to plot additional points and draw the line. Examples are given of graphing different equations in slope-intercept form by finding the y-intercept and slope from the given equation.

2. We have already seen that linear equations have two variables and when we plot all the (x,y) pairs that make the equation true we get a line . In this section, instead of making a table, evaluating y for each x, plotting the points and making a line, we will use The Slope-Intercept Form of the equation to graph the line.

3. These equations are all in Slope-Intercept Form: Notice that these equations are all solved for y.

6. 1) Plot the y-intercept as a point on the y-axis. The constant, b = 1, so the y-intercept = 1. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = 2, so the slope = 2/1. up 2 right 1 up 2 right 1

7. 1) Plot the y-intercept as a point on the y-axis. The constant, b = -4, so the y-intercept = -4. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = -1, so the slope = -1/1. right 1 down 1 right 1 down 1

8. 1) Plot the y-intercept as a point on the y-axis. The constant, b = -2, so the y-intercept = -2. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = 3/2, so the slope = 3/2. right 2 up 3 right 2 up 3

10. 1) Plot the y-intercept as a point on the y-axis. The constant, b = 3, so the y-intercept = 3. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = -2, so the slope = -2/1. right 1 down 2 right 1 down 2

11. The slope-intercept form of an equation gives you a quick way to graph the equation. Find y -intercept, use it to plot point where line crosses y -axis. Find slope, use it to plot a second point on line. Draw line through points. Write equation in slope-intercept form by solving for y . Click on the controller to practice G RAPHING E QUATIONS IN S LOPE- I NTERCEPT F ORM S LOPE- I NTERCEPT F ORM STEP 1 STEP 2 STEP 3 STEP 4