Question

What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)​

Answer 1

`y = -(21)/(2)x+5`

Explanation:

Given

`(x_1,y_1) = (-4,47)`

`(x_2,y_2) = (2,-16)`

Required

The equation in slope intercept

First, calculate the slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

Where:

`(x_1,y_1) = (-4,47)`

`(x_2,y_2) = (2,-16)`

So:

`m = (-16 - 47)/(2 - -4)`

`m = (-63)/(6)`

Simplify

`m = -(21)/(2)`

So, the equation is calculated as:

`y = m(x - x_1) + y_2`

This gives:

`y = -(21)/(2)(x - -4) + 47`

`y = -(21)/(2)(x+4) + 47`

Open bracket

`y = -(21)/(2)x-42 + 47`

`y = -(21)/(2)x+5`