Question

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.

Parallel to the line$y=-3x$, containing the point$(-1,2)$

Short answer

The equation of line is$y=-3x-1$

Step-by-step solution

Step 1. Given Information 

The given point is$(-1,2)$and the equation of parallel line is$y=-3x$

Step 2. Calculation

The given line has a slope of $-3$and as parallel lines have equal slope. So, the slope of the line is $-3$.

Substitute the given values in the equation of point-slope form.

$$\begin{gathered} y-y_1=m(x-x_1) \\ y-2=-3(x-(-1\left)\right) \\ y-2=-3(x+1) \\ y-2=-3x-3 \\ y=-3x-1 \end{gathered}$$