Question

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

Answer 1

Answer:

$m = 1$ -- Slope

$y = x + 3$ --- Equation

Step-by-step 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:

$m=\frac{y_2 - y_1}{x_2 - x_1}$

$m=\frac{-1-3}{-4- 0}$

$m=\frac{-4}{-4}$

$m = 1$

The equation is calculated using:

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

This gives:

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

$y = 1(x) + 3$

$y = x + 3$