Line d passes through points (5, 2) and (10, 10). line e is perpendicular to d. what is the slope of line e?

simplify your answer and write it as a proper fraction, improper fraction, or integer.

-5/8

Step-by-step explanation:

Step 1:  Find the slope of line d.  As we move from point (5, 2) to point (10, 10), x increases by 5 and y increases by 8.  Thus, the slope of line d is

m = rise / run = 8/5.

Step 2:  Find the negative reciprocal of this m = 8/5.  Doing so will give us the slope of line e or of any other line perpendicular to line d:

Slope of line e:  -(5/8) = -5/8

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18