Question

What is an equation of the line that passes through (-8, 2) and has a slope of -3/4?

Answer 1

`y=-(3)/(4)x +2`

Explanation:

The equation of a line is y=mx+b.

"mx" is the slope and the "b" is the y-intercept.

The slope is -3/4.

The y-intercept will be 2 (because that is the y of the coordinate).

Now we just plug them in.

y=-3/4x+2

Answer 2

Given ( -8 , 2) and Slope ( m)

Explanation:

The equation of line is given by

y - y1 = m ( x - x1 )

y - 2 = -3/4 ( x + 8)

Do cross multiply

4 ( y - 2 ) = -3 ( x + 8 )

4y - 8 = -3x - 24

3x + 4y +24 - 8 = 0

3x + 4y +16 = 0

Which is the required equation