Question

What is the equation in y=mx+b of the line through points (0,3) , (5,-3)?

Answer 1

`y=-6/5x+3`

Explanation:

First evaluate the slope `m` as:
`m=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)=(-3-3)/(5-0)=-6/5`

Then you can use the realtionship:

`y-y_0=m(x-x_0)`

Where we can choose the coordinates of, say, the first point to be (`x_0,y_0`):
`y-3=-6/5(x-0)`
`y=-6/5x+3` which is in the form `y=mx+b`