Question

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals StartFraction one-half EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)?

f(x) = f(x) equals StartFraction one-half EndFraction x plus 4.x + 4
f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.x + 6
f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.x – 10
f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.x – 12

B: f(x) 1/2x + 6 IS THE RIGHT ANSWER .

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Answer 1

f(x) = (1/2)*x + 6

Explanation:

We have the following equation:

y - 8 = (1/2)*(x - 4)

Applying distributive property:

y - 8 = (1/2)*x - (1/2)*4

y - 8 = (1/2)*x - 2

Isolating y:

y = (1/2)*x - 2 + 8

y = (1/2)*x + 6

When we talk about functions, y and f(x) refers to the same. So, we can rewrite the last equations as:

f(x) = (1/2)*x + 6