The lines shown below are perpendicular. if the green line has a slope of 1/7, what is the slope of the red line?

Therefore, the slope of the red line must be -7

Step-by-step explanation:

If the two lines are said to be perpendicular each other, then the multiplicative of their slope is -1.

Let "m1" be the slope a line and "m2" be the slope of the perpendicular line.

So, m1*m2 = -1

Here, let's take "m1" be the slope of the green line and "m2" be the slope of the red line.

They said to be perpendicular to each other.

So, m1*m2 = -1

Given: m1 = 1/7

NOw plug in m1 = 1/7 in the above statement, we get

1/7 *m2 = -1

Let's find the value of m2, multiply both sides by the reciprocal of 1/7

The reciprocal of 1/7 is 7.

7*1/7*m2 = -1*7

7/7.m2 = -7

m2 = -7

Therefore, the slope of the red line must be -7