1. Bellwork Match. 1) x-coordinate 2) y-coordinate 3) x-axis 4) y-axis
5) x-intercept
6) y-intercept
The horizontal line on a coordinate plane
The place where a line crosses the x-axis
The first number in an ordered pair
The vertical line on a coordinate plane
The second number in an ordered pair
The place where a line crosses the y-axis

2. The ______ on a line that crosses the ________.
What we’ve learned so far…
x-intercepts
y-intercepts
The ______ on a line that crosses the ________.
The _____________ is ALWAYS _____.
Ex.
POINT
POINT
x-axis
y-axis
y-coordinate
x-coordinate
( ___, 0)
(0, ___)

3. How can we get an exact answer?
y = -2.5x
Estimate the y-intercept to the nearest tenth.
Estimate the x-intercept to the nearest tenth.
How can we get an exact answer?

4. Ex #1
Finding Intercepts from an Equation
x-intercepts
y-intercepts
The _____________ is ALWAYS _____.
y-coordinate
x-coordinate
y = -2.5x
y = -2.5x
0 = -2.5x
y = -2.5(0)
-5.75
-5.75
y = 5.75 x
( , )
-2.5
-2.5
( 2.3 , 0 )
2.3 = x

5. Ex #1
y = -2.5x
Estimate the y-intercept to the nearest tenth.
(0, 5.75)
Estimate the x-intercept to the nearest tenth.
(2.3, 0)

6. How can we get an exact answer?
y = 0.45x – 3.7
Estimate the y-intercept to the nearest tenth.
Estimate the x-intercept to the nearest tenth.
How can we get an exact answer?

7. Ex #2
x-intercepts
y-intercepts
The _____________ is ALWAYS _____.
y-coordinate
x-coordinate
y = 0.45x – 3.7
y = 0.45x – 3.7
0 = 0.45x – 3.7
y = 0.45(0) – 3.7
+3.7
+3.7
y = -3.7 x
( , )
0.45
0.45
8.2 = x
( 8.2 , 0 )

8. Ex #2
y = 0.45x + 8.1
Estimate the y-intercept to the nearest tenth.
(0, -3.7)
Estimate the x-intercept to the nearest tenth.
(8.2, 0)

9. 5x – 2y = 10 ( 0 , -5 ) ( 2 , 0 ) Ex #3 y = 2.5x – 5 y = 2.5x – 5
x-intercepts
y-intercepts
The _____________ is ALWAYS _____.
y-coordinate
x-coordinate
y = 2.5x – 5
y = 2.5x – 5
0 = 2.5x – 5
y = 2.5(0) – 5
5 = 2.5x
y = -5
( 0 , -5 )
2 = x
( 2 , 0 )

10. Graph to check our answers.
The x-intercept is 2
The y-intercept is -5
Remember:
Solve for y
Make a table
Pick your x’s
Find your y’s x 1 2 3 y -5
-2.5
2.5

11. THE BOTTOM LINE… To find the x-intercept from an equation…
Substitute zero for y and solve the equation (because you’re trying to find x)
To find the y-intercept from an equation…
Substitute zero for x and solve the equation (because you’re trying to find y)

12. x 1 2 3 y Find the x- and the y-intercept. Graph to check your answer.
YOU TRY x 1 2 3 y

13. x 1 2 3 y YOU TRY Find the x- and the y-intercept.
Graph to check your answer. x 1 2 3 y

14. Bellwork Thursday, November 3rd
Linear or Nonlinear? If it is not linear, tell what rule it breaks.
xy = -6
4x + 8y = 10
y = -4x - 2