Question

Find the value of x so that the line passing through (10, 5) and (x, 9) has a slope of -2.

Answer 1

x=8 ....................

Answer 2

Ok, so here, we need to use the slope formula which is:

(y2 - y1)/(x2-x1)

y2 = 9
y1 = 5

x2 = x
x1 = 10

So:

(9-5)/(x-10) = -2

Now, we just solve for x,

9-5 = -2(x-10)

4 = -2x+20

2x = 16

x = 8