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A function is shown. F(x) = -7/8x + 11
What's the x-intercept?
What's the y-intercept?

2 Answers

2 votes

Answer:

x-intercept (88/7,0), y-intercept (0,11)

User Kazuar
by
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1 vote

Answers:

x intercept = 88/7

y intercept = 11

===============================================

Step-by-step explanation:

To find the y intercept, we replace f(x) with 0 and solve for x.

f(x) = (-7/8)x + 11

0 = (-7/8)x + 11

(7/8)x = 11

7x = 8*11

7x = 88

x = 88/7 is the x intercept

It is located at (x,y) = (88/7, 0)

The x intercept always occurs when y = 0.

88/7 = 12.5714 approximately, but I would stick to the fraction form since it's most exact.

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The y intercept always occurs when x = 0.

f(x) = (-7/8)x + 11

f(0) = (-7/8)*0 + 11

f(0) = 0 + 11

f(0) = 11 is the y intercept

It is located at (0,11)

The y intercept is much easier to find since we just need to read off the last value of the function (aka the constant value).

User Luator
by
7.3k points

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