Question

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)? f(x) = 6x – 1 f(x) = 8x – 6 f(x) = 4x – 14 f(x) = 4x – 10

Answer 1

the answer to the question is f(x)= 4x - 10

Answer 2

The linear equation represented point-slope equation y – 2 = 4(x – 3) is f(x) = 4x – 10 .

Explanation:

As given the point slope equation be given by

y – 2 = 4(x – 3)

Open the bracket

y - 2 = 4 × x – 4 × 3

y - 2 = 4x - 12

y = 4x - 12 + 2

y = 4x - 10

(As y = f(x))

Thus

f(x) = 4x - 10

Therefore the linear equation represented point-slope equation y – 2 = 4(x – 3) is f(x) = 4x – 10 .