Question

A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?

Answer 1

Hello!

$\large\boxed{t = -8}$

We can find the value of t using the slope formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the given slope and coordinates into the appropriate places:

$5 = \frac{2-t}{3-1}$

Simplify:

$5 = \frac{2-t}{2}$

Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:

$5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8$