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2. CATEGORY 3 - A.6(E)
The student is expected to determine the intercepts of the graph of linear functions an zeros of linear functions from graphs, tables, and algebraic representations.
SUPPORTING STANDARD

3. KEY TERMS
X-INTERCEPT – The x – coordinate where the graph crosses the x – axis.
Y-INTERCEPT – The y – coordinate where the graph crosses the y – axis.
ZERO OF A LINEAR FUNCTION – The x-value that makes the function equal zero.

4. INTERCEPTS & ZEROS
y - intercept
x - intercept
zero

5. Example 1: What are the x – and y – intercepts of the function graphed below?
x–intercept
(-3, 0)
y-intercept
(0, -6)

6. Example 2: What is the x-intercept of the equations -3y = 8 – 2x?
To find the x-intercept let y = 0.
-3(0) = 8 – 2x
Solve for x.
0 = 8 – 2x
-8 = -2x
4 = x
The x – intercept is (4, 0)
substitute 0 for y
subtract 8 from both sides
divide both sides by -2

7. Example 3: What is the y-intercept of the equations -3y = 8 – 2x?
To find the y-intercept let x = 0.
-3y = 8 – 2(0)
Solve for y.
The y – intercept is (0, )
substitute 0 for x
-3y = 8
divide both sides by -3
y =

8. Example 4: What is the zero of the linear function graphed below?
When looking for a zero of a linear function you are actually looking for the x-intercept.
x = 1
The zero of the function is 1.

9.
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