1. Graphing Linear Equationsy x
In Slope-Intercept Form

2. The Slope-Intercept Form of the equation to graph the line.
Linear equations have two variables and when we plot all the (x,y) pairs that make the equation true we get a line.
We will use
The Slope-Intercept Form
of the equation to graph the line.

3. (where the line crosses the y-axis)
The formula for Slope-Intercept Form is:
‘b’ is the y-intercept.
(where the line crosses the y-axis)
‘m’ is the slope.
Using the y-intercept as a starting point, you can use the slope to graph more points and the line of the equation.

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

5. Just by looking at an equation in this form, we can draw the line on a coordinate plane.
The constant is the y-intercept.
The coefficient is the slope.
Constant = 1, y-intercept is (0,1).
Coefficient = 2, slope is 2.
Constant = -4, y-intercept is (0, -4).
Coefficient = -1, slope = -1.
Constant = -2, y-intercept is (0,-2).
Coefficient = 3/2, slope = 3/2.

6. Plot the y-intercept as a point on the y-axis.
The constant, b = 1, so the y-intercept = 1.
or ( 0 , 1 )
right 1
up 2
right 1
up 2
2) The coefficient, m = 2, so the slope is positive
2 over 1.
3) Plot more points by counting the slope up the numerator and across the denominator.

7. Plot the y-intercept as a point on the y-axis.
The constant, b = -4, so the y-intercept is…
( 0 , -4 )
The coefficient, m = -1, so the slope is
negative 1 over 1.
3) Plot more points by counting the slope up (the numerator) and across (the denominator).
left 1
up 1
down 1
down 1
right 1
right 1

8. Plot the y-intercept as a point on the y-axis.
The constant, b = -2, so the y-intercept is…
( 0 , -2 )
right 2
up 3
right 2
up 3
2) The coefficient, m = 3/2, so the slope = 3/2.
3) Plot more points by counting the slope up the numerator and across the denominator.

9. Sometimes we must solve the equation for y before we can graph it.
To solve for y, we must move the 2x to the other side…
Subtract 2x from both sides.
– 2x – 2x
The constant, b = 3 tells the y-intercept.
The coefficient, m = -2 is the slope:
negative 2 over 1

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

11. Summary
Slope-Intercept Form
‘b’ is the y-intercept.
‘m’ is the slope.

12.  PUT THE TITLE ON YOUR PAPER.