174k views
25 votes
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?

User XValidated
by
7.2k points

1 Answer

6 votes

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

User Jeroen Bolle
by
8.0k points