Question

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

Answer 1

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

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