Question

A like with slope = 1/2 passes through the points (2,5) and (x,3). What is the value of x?

-1
1
-2
2

Answer 1

y = mx + b

slope = m = 1/21, so we have

y = 1/2 x + b

The line passes through (2, 5), so we get

5 = 1/2 * 2 + b

5 = 1 + b

b = 4

The equation of the line is

y = 1/2 x + 4

Point (x, 3) has a y-coordinate of 3. We are looking for the x-coordinate.

y = 1/2 x + 4

3 = 1/2 x + 4

-1 = 1/2 x

x = -2