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=(y_2-y_1)/(x_2-x_1) \\ m=(-4-8)/(-4-0)=(-12)/(-4)=3 \\ m=3 \end{gathered}`

now, b:

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

therefore:

`y=3x+8`