Question

What would the slope of a line be if it were perpendicular to the line: y = 1 / 4x - 11?

Answer 1

Two lines are perpendicular when the product between their lines is equal to -1.

Then,

m1*m2 =- 1

Where m1= slope of the first line

m2 = slope of the second line

Now, we have the next line equation: y = 1 / 4x - 11.

It has the slope-intercept form y=mx+b, where m represents the slope.

Then, m1= 1/4.

Now, the slope of the line perpendicular to the given line is m2.

So, we replace using the equation:

m1*m2 =- 1

1/4*m2 =- 1

Solve for m2:

1/4*m2 =- 1

m2=-1*4

m2 = -4

Hence, the slope of the perpendicular line is -4.