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

Answer:

option C

$y=\frac{-2}{3}x-11$

Step-by-step 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

$y + 7 =\frac{-2}{3}(x + 6)$

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

multiply -2/3 inside the parenthesis

$y + 7 =\frac{-2}{3}x-4$

Subtract 7 from both sides

$y=\frac{-2}{3}x-11$