Question

Find the equation of the line when given two points from the line (0,8) and (-4,-4)

Answer 1

We have the following:

the equation have the following form:

$y=m\cdot x+b$

the slope is:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-4-8}{-4-0}=\frac{-12}{-4}=3 \\ m=3 \end{gathered}$

now, b:

$\begin{gathered} 8=3\cdot0+b \\ b=8 \end{gathered}$

therefore:

$y=3x+8$