Question

The points (3,10) and (5,t) fall on a line with a slope of -4 what t value

Answer 1

t=2

Explanation:

The slope is given by

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

We have points (3,10) and (5,t) and the slope is -4

Substituting these in

-4 = (t-10)/ (5-3)

Simplifying

-4 = (t-10) / 2

Multiply by 2 on both sides

-4 = (t-10) / 2 *2

-8 = t-10

Add 10 on both sides

-8+10 = t-10+10

2 = t