Question

Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).

Answer 1

y - 7 = -4/3(x + 1)

Explanation:

Given

• y =3/4x -4

• (-1, 7)

Convert to point slope form

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

Distribute -4/3

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

Add seven in both sides

21/3 -4/3 = 17/3

y = -4/3x + 17/2

Answer

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)