Question

Through: (0, 3) and (-4, -1)

Answer 1

`m = 1` -- Slope

`y = x + 3` --- Equation

Explanation:

Given

`(x_1,y_1) = (0,3)`

`(x_2,y_2) = (-4,-1)`

Required

The slope and the equation

The slope (m) is calculated using:

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

`m=(-1-3)/(-4- 0)`

`m=(-4)/(-4)`

`m = 1`

The equation is calculated using:

`y = m(x - x_1) + y_1`

This gives:

`y = 1(x - 0) + 3`

`y = 1(x) + 3`

`y = x + 3`