Question

What is a possible equation of a line that is perpendicular to the line drawn through the points A and E? Please
show the steps to your solution

Answer 1

The slope of the line passing through A and E is equal to Rise/Run
Since on the way to E it drops by 3 - (-5) or 8, and it moves over -6 - (-4.5) or -1.5

I think E is at -4.5, right? It's hard to tell in the attachment.
So the slope is -8/1.5. A perpendicular line has the inverse of the slope.
The inverse is the fraction flipped upside down, multiplied by -1.
So 1.5/8 (Solve this as 3/16)

Since it doesn't specify where the intercept should be, we can use
Y= (3/16) x + 80085 as an appropriate perpendicular.