Question

Find the equation of this line.(2,2) and (0,-4)

Answer 1

To find the equation;

x₁ = 2 y₁ = 2 x₂ = 0 y₂=-4

we will use the formula;

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x_{}-x_1)$

substituting the values into the above;

$y-2=\frac{-4-2}{0-2}(x-2)$

Then, we will go ahead and evaluate;

$y-2\text{ = }\frac{-6}{-2}(x-2)$

$y-2\text{ =3(x-2)}$

y - 2 = 3x - 6

add 2 to both-side of the equation

y = 3x -6+ 2

y = 3x -4