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

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.

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right