line d passes through points (8,9) and (1,3).line e is perpendicular to d . what is the slope of line e

Answer 1

1st sept: Find the slope of line "d".

slope: m = change in y / change in x

m = (9 - 3) / (8 - 1)

m = 6 / 7

2nd step: find slope of line "e".

The slope of a perpendicular line is the negative reciprocal of the slope of the given line.

slope of line "e" = -7 / 6

Answer 2

Slope of line d is m_d = (9 - 3)/(8 - 1) = 6/7;

Then slope of line e is m_e = - 7/6

Answer 3

They are asking you for the slope of the line e which is perpendicular to line d.

Recall that if a line e is perpendicular to line d, this means that line e will have the opposite reciprocal.

For example, if line d had a slope of 5 then line e would have a slope of -1/5 (opposite reciprocal)

Knowing this we can do the following. Since we have the points (8,9) and (1,3) that line d passes through, we can use the slope for formula m = y₂ - y₁ / x₂ - x_1. Then 3-9/ 1-8 = -6/-7 = 6/7

So know that you know the slope of line d is 6/7 we can say the slope of line e is -7/6.

Hope this helps