Question

What is the equation of the line that passes through the points (0, 5) and (2, 3)?

Answer 1

`y=-x+5`

Explanation:

To find the slope between two points you use the Slope Intercept, which is `y=mx+b`. But we don't have m, so we have to use the Point Slope Form first, which is `m=(y_2-y_1)/(x_2-x_1)`
so your m will be `m=(3-5)/(2-0)` or `m=-1`

But you still don't have b from the equation. So solve for b with (2,3) and m=-1

`3=(-1)(2)+b`
`b=5`

so the equation is `y=-x+5`

(-1x is the same as -x)