Question

What is the slope intercept equation of the line (0,4) and (2.-2)

Answer 1

y= -3x + 4

Explanation:

Answer 2

`slope=-3\\b=4\\`

Equation of the line

`y=-3x+4`

Explanation:

To find the slope we need two points,
`(x_1,y_1)` and
`(x_2,y_2)` In this case we have the points
`(0,4)` and
`(2, -2)`

`slope=(y_2-y_1)/(x_2-x_1)` (1)

We replace the points in the equation (1)

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

`(-2-4)/(2-0) =(-6)/(2) =-3`

We know the equation of the line:

`y=mx+b` (2)

To find b we replace the slope, x and y with one of the points in the equation (2)

`4=-3*0+b\\4=0+b\\b=4`

We substitute m and b in the general equation of the line

`y=-3x+4`