Question

Find the value of x if the points (x,5) and (3,7) lie on the line whose slope is 4/7

Answer 1

x = -4

Explanation:

Write and solve an equation in which the slope from the definition of slope is on the left side and the given slope, 4/7, is on the right side:

7 - 5 4

m = ---------- = --------

3 - x 7

Simplifying with the aim to find the value of x:

2(7) = 4(3 - x), or 7 = 3 - x. Then x = -4.