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 = (y_(2)-y_(1))/(x_(2)-x_(1))`

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

`5 = (2-t)/(3-1)`

Simplify:

`5 = (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`