Question

Parallel to the line y=-3x + 5 passes through (-4,5)

Answer 1

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

$y = -3x+5$

General form of slope-intercept equation of line is:

$y=mx+b$

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

$y = -3x+b$

Putting (-4,5) in equation

$5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7$

Putting in the general form, we get

$y = -3x-7$

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7