Question

find the equation of the line containing (3,1) and (9,5)

Answer 1

Find the slope by taking the rise over the run.

The rise is 5-1=4

The run is 9-3=6

So the slope is 4/6

Enter the slope in the equation of a line. So you have this

y=4/6x+b

Substitute one of the points into the equation.

If I pick the first point (3,1) I have this

1=4/6(3)+b

Solve for b

So b= 1

So the equation is y=2/3 + 1

Answer 2

Sorry b should -1

Answer 3

Here's a graph of the equation y=2/3x-1