Question

Write an equation of a line that is perpendicular to y = 3x + 4

Answer 1

Answer:

$y = - \frac{1}{3} x + 2$

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

y= 3x +4

Since the given equation is already in the slope-intercept form, we can easily identify the slope of this line by looking at the coefficient of x.

slope= 3

The product of the slopes of perpendicular lines is -1. Let the slope of the perpendicular line be m.

m(3)= -1

Divide both sides by 3:

m= -⅓

y= -⅓x +c

Since the question does not specify the points the perpendicular line passes through, c can be any integer.

Thus, the equation of the perpendicular line could be y= -⅓x +2.