Question

Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?a. f(x) = –2/3x – 11b. f(x) = –2/3x – 1c. f(x) = –2/3x + 3d. f(x) = –2/3x + 13

Answer 1

option C

`y=(-2)/(3)x-11`

Explanation:

The point slope equation of a line is given by

`y-y_1=m(x-x_1)`

Where m is the slope and (x1,y1) is the point on the point

`y + 7 =(-2)/(3)(x + 6)`

We need to write the equation in y=mx+b form

multiply -2/3 inside the parenthesis

`y + 7 =(-2)/(3)x-4`

Subtract 7 from both sides

`y=(-2)/(3)x-11`