1. Using Slopes and Intercepts
You can graph a linear equation easily by finding the x-intercept and the y-intercept. The x-intercept of a line is the value of x where the line crosses the x- axis (where y=0). The y-intercept of a line is the value of y where the line crosses the y-axis (where x =0)

2. X-intercept and y-intercept
What is the x intercept? What is the y intercept?

3. Find the x-intercept and y-intercept of the line 3x + 4y = 12
Find the x- intercept (y=0)
Just “plug in” 0 for y
Find the y-intercept (x=0)
Just “plug in” 0 for x
Now Graph the equation

4. Slope- Intercept Form
Y= mx + b
m= slope
b= intercept

5. y = x Y = mx + b Write the equation in slope- intercept form.
Y = (1)x *rewrite the equation to show each part
m=1, b= 0
The slope of the line y = x is 1.
The y- intercept is 0.

6. Try This y = mx + b
8x = 5y
5y = 8x ( switch around; Reflexive Property)
5y = 8x (divide both sides by 5 to solve for y)
y = 8/5x (the equation in slope-intercept form)
m= 8/5 b= 0

7. 3x + 7y = 9 One More! y = mx + y subtract 3x from each side:
7y = 9 – 3x
Rewrite in slope-intercept form:
7y = -3x +9
Divide both sides by 7:
y = - 3/7x + 9/7
Slope = - 3/7 and y- intercept = 9/7