Question

Write an equation for the line with a y-intercept of 5

that is perpendicular to the line with equation
y=-3x+2.

Answer 1

y = -1/3 x + 5

Explanation:

The general equation is y = mx + b

You are told that the y intercept is 5. The point is (0,5)

So far the general equation looks like y = mx + 5

Now we have to find m

The given slope of y = 3x + 2 is 3.

The slope is whatever number is in front of the x

Use this formula for the vertical slope

m * m1 = - 1

m1 = 3

3*m = - 1 Divide by 3

m = -1/3

So the answer you want is y = -1/3 x + 5