What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2?

Answer 3/4

Step-by-step explanation:

Divide both sides of the equation by 3 so that +y is by itself on the left sideof the equation.

y = -4/3 x + 2/3     Did you notice the 2/3? That came about because you always must divide on both sides of a plus sign with uncombinable terms on either side of the plus sign.

Term one is -4/3 x

Term two is 2/3 Those two cannot be combined.

now all you do is read the slope. It is the coefficient in front of the x term.

Slope = -4/3

The slope of any perpendicular is calculated from the formula

m1 * m2 = - 1

We will define m1 as - 4/3. m2 is the answer you want.

(-4/3) * m2 = -1

m2 = -1/(4/3)

m2 = -1 / 1 // -4/3  invert and multiply the 4/3

m2 = -1/1 * (-3/4)   multiply the numerators then multiply the two denominators.

Numerators = -1 * - 3

denominators = 1 * 4

Answer m2 = 3 / 4

good luck on your studies! : )

david edward.