Question

Find the line passing through points (-4,2) and (0,3)

Answer 1

Answer: y = 1/4x + 3

Explanation:

-First determine the slope of the line. The formula for determining the slope is
`m=(y2 - y1)/(x2-x1)` where
`m` is the slope and the x and y terms are for the points
`(x1, y1)` and
`( x2, y2)`

-So, for this problem the slope is:

`m = (3-2)/(0+4)`

`m = (1)/(4)`

-Then, use the point-slope formula:

`y-y1=m(x-x1)`

-Substituting one of our points gives:

`y-2=(1)/(4) (x+4)`

`y-2=(1)/(4)x +1`

-Solving for
`y` to put it in standard form:

`y-2+2=(1)/(4)x +1 +2`

`y + 0 = (1)/(4)x +3`

- Result:

`y=(1)/(4)x +3`