Question

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinatesslope: -3, ordered pair: (-4,-2)

Answer 1

Given:

The slope of line, m= -3.

The coordnates of the point through which the line passes, (x1, y1)=(-4, -2).

The point slope formula to fidn the equation of a line is given by,

`y-y1=m(x-x1)`

Substitute the known values.

`\begin{gathered} y-(-2)=-3(x-(-4)) \\ y+2=-3(x+4) \\ y+2=-3x-3*4 \\ y+2=-3x-12 \\ y=-3x-12-2 \\ y=-3x-14 \end{gathered}`

Therefore, the equation of the line is y=-3x-14.