Question

Which equation represents the line that is perpendicular to y=3 and passes througn (-2, -8)

Answer 1

Explanation:

y = 3 is a horizontal line. A line that is perpendicular would be a vertical line. (x = a)

Since it passes through (-2, -8) with x-value of -2,

the line equation is x = -2.

Answer 2

For two lines to be perpendicular, their gradients must multiply together to get -1

3*B=-1

the gradient of B is -1/3

y-y1=m(x-x1)

y+8= -1/3(x+2)

y+8= -1/3x-2/3

y=-1/3x-26/3

So, y=-1/3x-26/3 is the equation of the line