Question

The points (5,t) and (6, -8) fall on a line with a slope of -3. what is t

Answer 1

First, we will determine the equation of the line

The slope will be

`m=-3`
`b=y-mx`

With the point (6,-8)

`b=-8-(-3)\cdot6`
`b=-8+18\rightarrow b=10`

Now we evaluate the equation for x = 5

`y=-3(5)+10`
`y=-15+10\rightarrow y=-5`

The answer would be: (5, -5)