1. x- and y-
intercepts

2. At what point does the line cross the y-axis?
(0,2)
(0,-1)
(0,2)
What do you notice about all the points?
They all have 0 for the x-coordinate. (0,y)

3. y-intercept:
the point where
a line crosses
the y-axis

4. At what point does the line cross the x-axis?
(2,0)
(-3,0)
(1,0)
What do you notice about all the points?
They all have 0 for the y-coordinate. (x,0)

5. x-intercept:
the point where
a line crosses
the x-axis

6. NOTICE:
On the y-intercept there
is a zero as the x value.
And the x-intercept has
a zero as the y value.

7. FINDING THE X- AND Y-INTERCEPTS FROM AN EQ:
TO FIND THE X-INTERCEPT:
TO FIND THE Y-INTERCEPT:
Plug a zero in for y.
Plug a zero in for x.
X-INTERCEPT:
Graph
Y-INTERCEPT:

8. NOW, LET'S GRAPH USING THE INTERCEPTS
X-INTERCEPT:
Y-INTERCEPT:

9. Find the x- and y- intercepts for: ½ x – 4y = 6
x-intercept: ½ x – 4y = 6 ½ x – 4(0) = 6 ½ x = 6 ½ ½ x = 12 (12, 0)
y-intercept:
½ x – 4y = 6
½ (0) – 4y = 6
- 4y = 6
y = -1.5
(0, -1.5)

10. What are the x- and y- intercepts for the following tables?-2 -9 -1 -6 -3 1 2 3 X Y -3 2 -2 -1 -4 1 -6 X Y -5
-2.5 -3
-1.5 2 1 4
x-intercept:
x-intercept:
x-intercept:
(1,0)
(-2,0)
(0,0)
y-intercept:
y-intercept:
y-intercept:
(0,-3)
(0,-4)
(0,0)

11. TO FIND THE X-INTERCEPT:
TO FIND THE Y-INTERCEPT:
Plug a zero in for y.
Plug a zero in for x.
Now solve for y.
Y-INTERCEPT:
X-INTERCEPT:

12. Graph the lines given the x- and y- intercepts.
x-intercept: 2 y-intercept: -3
x-intercept: -5
y-intercept: -2

13. LET'S LOOK AT A WORD PROBLEM:
If it costs $2.00 to connect a call and $.25 per minute to talk. What are the x- and y- intercepts of this situation?
Write the equation.
What is the slope?
Graph
cost per minute
What is the y-intercept?
the connection fee

14. LET'S FIND THE INTERCEPTS:
What does b=?
So, the y-intercept is:
TO FIND THE X-INTERCEPT:
Plug a zero in for y.
Now solve for x.
X-INTERCEPT: