Question

A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.

Answer 1

Explanation:

Givens

m = 1/4

y2 = 4

y1 = 1

x2 = 2

x1 = x

m = (y2 - y1) / (x2 - x1)

Solution

1/4 = (4 - 1) / (2- x) Simplify

1/4 = 3 / (2 - x) Cross multiply

2- x =12 Subtract 1 from both sides

-x = 12 - 2

-x = 10 Multiply by -1

x = -10

Check

1/4 = (4 - 1) / (2 - - 10)

1/4 = 3/(2 + 10)

1/4 = 3 / 12

1/4 = 1/4

Odd as the answer is, it does check.