Question

Which of the following is the equation of the line that has a slope of -3 and passes through thepoint (-2, 6)?

Answer 1

The given slope of the line is -3

The line passes through the point (-2, 6)

Recall the point slope form equation:

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

Substituting values gives:

`y-6=-3(x-(-2))`

Simplifying the equation gives:

`\begin{gathered} y-6=-3(x+2) \\ y-6=-3x-6 \\ y=-3x-6+6 \\ y=-3x \end{gathered}`

Therefore the equation of the line is:

`y=-3x`