Question

What is the equation of a line passing through the points (-3,
-2) and (2, 0)?

Answer 1

`y=0.400x+-0.800`

Explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:


`y=mx+b`

M is equal to the slope of the two points, so first we need to fine the slope of the two points.


`(-3,-2)=(x1,y1)`

`(2,0)=(x2,y2)`


`m=(y2-y1)/(x2-x1)`

`m=(0--2)/(2--3) =(2)/(5)`

`m=(2)/(5) =0.400`


`y=mx+b`

`y=-2`

`m=0.400`

`x=-3`

`-2=0.400(-3)+b`

`0.400*-3=-1.20`

`-2+1.2=-0.800`

`b=-0.800`


`y=0.400x+-0.800`

Hope this helps.