Question

A line passes through the point (-3,-1) and has a slope of -4. Write an equation in point-slope form for this line.

Answer 1

It is given that the line passes through the point (-3,-1) and the slope is -4.

The slope point form of equation of the line is given by:

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

Here the point and slope are given as:

`(x_1,y_1)=(-3,-1),m=4`

Therefore the equation is given by:

`\begin{gathered} y-(-1)=-4(x-(-3)) \\ y+1=-4x-12 \\ 4x+y+13=0 \end{gathered}`
`\text{Hence 4x+y+13=0 is the equation of the line.}`