Question 159100
To determine the slope of the line M= y2-y1/x2-x1

(6-8)/(a-5)=-3/4

Cross multiply

4(-2)=-3a + 15

-8=-3a + 15
add 8 to both sides

0=-3a + 23

Add 3a to both sides

3a=23

divide both sides by 3

a=23/3

Plug in to check answer

I found the common denominator for the y values as 3
5X3=15

(6-8)/(23-15/3)=-2/8/3=-3/4

-2*inverse od 8/3 =-2*(3/8) simplfy the equation.