Find the value x, given the slope is -8/5 between points (3, 4) and (x, 8)

Answer 1

Use the slope formula for a straight line. Given any two points on the line, (x₁,y₁) and (x₂,y₂), the slope (m) is:

m = (y₂-y₁) / (x₂-x₁)

where:

m = slope = -8/5

(x₁,y₁) = (3,4)

(x₂,y₂) = (x,8)

Substituting in the values:

-8/5 = (8-4) / (x-3) = 4/(x-3)

x-3 = (4)(5) / (-8)

Can you finish solving for x?