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

The slope of a line that is perpendicular to a line of the given equation is

Given the following equation;

To find the slope of a line that is perpendicular to a line of the given equation:

In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).

Mathematically, this is given by:

  ...equation 1.

First of all, we would determine the slope of the given equation:

Slope, =

Substituting slope 1 into eqn 1, we have:

Read more: link

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

Step 1

Find the slope of the given line

we have

Solve for y

Divide by both sides

the slope of the given line is

Step 2

Find the slope  of a line that is perpendicular to the given line

we have

substitute the value of m1

therefore

the answer is

the slope is