Question

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

Answer 1

Given:

The slope of the line, m=-2.

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

The point slope form of the equation of a line is given by,

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

Substitute the known values in the above equation.

$\begin{gathered} y-(-4)=-2(x-2) \\ y+4=-2x-2\times(-2) \\ y+4=-2x+4 \\ y=-2x+4-4 \\ y=-2x \end{gathered}$

Therefore, the equation of the line is y = - 2x.