Question

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2

that passes through (-6, -1).
O A. y=5x+29
O B. v-ex+
O C. y=-5x-11
D. y= 5x - 29
SUBMIT

Answer 1

Option A.
`y=5x+29`

Explanation:

step 1

Find the slope of the line parallel to the given line

we have

`y=5x+2`

The slope of the given line is

`m=5`

Remember that

If two lines are parallel, then their slopes are equal

therefore

The slope of the line parallel to the given line is also
`m=5`

step 2

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

`y=mx+b`

we have

`m=5`

`point\ (-6,-1)`

substitute and solve for b

`-1=5(-6)+b`

`-1=-30+b\\b=30-1\\b=29`

substitute

`y=5x+29`