Question

Find the equation of a line with the given points. (Put your answers in the form y = mx + b.)

(7, 2)
(5, 4)

Answer 1

Start with finding the slope (m)

Slope is the change of y over the change of x.

The Y values we see are 2 and 4
The X values we see are 7 and 5

So the slope would be \[\frac{ 2-4 }{ 7-5 }\]

Solve that and we know the slope is
\[\frac{ -2 }{ 2 }\] or -1

So now we have an equation of \[y=-1x+b\]

To solve b you simply put in one of your points.

Take for example the point of (7,2)
So now we have \[2=-1*7+b\]

Finish solving for b and then input that into the equation