Question

Consider the line y=5x-4

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

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

Answer 1

slope of perpendicular line= -⅕

slope of parallel line= 5

Explanation:

y= 5x -4

The equation is in the slope-intercept form, thus the slope is the coefficient of x.

Slope of given equation= 5

The product of the slopes of perpendicular lines is -1.

Let the slope of the perpendicular line be m.

m(5)= -1

`m = - (1)/(5)`

Thus, the slope of the perpendicular line is -⅕.

Parallel lines have the same gradient.

Slope of parallel line= 5

What is slope-intercept form?

• y= mx +c, where m is the slope and c is the y-intercept
• In this form, the coefficient of y is 1, while all the other terms and constant is on the right hand side of the equation