Question

Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)

Answer 1

`y=5x+7`

Explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

The equation of the given line is
`y=5x+4`

The slope of the given line is
`m=5`

so

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

The equation of the line in point slope form is

`y-y1=m(x-x1)`

we have

`m=5`

`point\ (-1,2)`

substitute

`y-2=5(x+1)`

step 3

Convert to slope intercept form

Isolate the variable y

`y-2=5x+5`

`y=5x+5+2`

`y=5x+7`