Question

Write the slope intercept form of the equation of the line through the given points.

Answer 1

`y=-3x+-5`

Explanation:

Given the following question:

Point A = (-3, 4) = (x1, y1)
Point B = (0, -5) = (x2, y2)

To find the slope intercept of a line we must first find the slope, using the formula for slope or rise over run.


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

`m=(-5-4)/(0--3) =(-9)/(3)`

`(-9)/(3) /3=(-3)/(1) =-3`

`m=-3`

Now to find the slope intercept of a line, we must use the formula to find the slope intercept and solve for b.


`y=mx+b`

`m=-3`

`y=4`

`x=-3`

`4=-3(-3)+b`

Solve for b:

`4=-3(-3)+b`

`-3*-3=9`

`4=9+b`

`9-9=0`

`4-9=-5`

`b=-5`

`y=-3x+-5`

The slope intercept of the line is "y = -3x +-5."

Hope this helps.