Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

, slope intercept form

, standard form

Step-by-step explanation:

We need to write the given equation in slope intercept form or standard form

slope intercept form is

To get slope intercept form , we need to get y alone

( multiply -3 inside the parenthesis )

, subtract 1 on both sides

Standard form is

To get standard form we keep x term and y term on the left hand side

Add 3x on both sides

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c