Question

Consider the line y = 7 - 4x.What is the slope of a line parallel to this line?What is the slope of a line perpendicular to this line?Slope of a parallel line: Slope of a perpendicular line:

Answer 1

Given:

$y=7-4x$

The equation represents a line written in slope-intercept form y= mx + b

Compare the given equation with the form

So, the slope = m = -4

And the y-intercept = b = 7

We will answer the following questions:

a) What is the slope of a line parallel to this line?

The parallel lines have the same slope

So, the slope of a parallel line = -4

b) What is the slope of a line perpendicular to this line?

the product of the slopes of the perpendicular lines = -1

So, the slope of a perpendicular line = 1/4