Question

Write an equation for the line parallel to the given line that contains C.

C(2,7); y = -4x + 1
y = ?

Answer 1

`y=-4x+15`

Explanation:

step 1

Find the slope of the given line

we know that

If two lines are parallel, then their slopes are the same

The equation of the given line is

`y=-4x+1`

This is a equation of the line in slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept

The slope m is equal to

`m=-4`

therefore

The slope of the line parallel to the given line is

`m=-4`

step 2

Find the equation in slope intercept form of the line parallel to the given line

`y=mx+b`

we have

`m=-4`

`point\ C(2,7)`

substitute the values and solve for b

`7=-4(2)+b`

`7=-8+b`

`b=7+8=15`

therefore

The linear equation is

`y=-4x+15`