Question

Write the slope-intercept form of the equation.Passes through (-1,-2) and parallel to y=-2x-1

Answer 1

Answer:

The slope-intercept form of the equation is;

$y=-2x-4$

Explanation:

Given that the equation passes through;

$(-1,-2)$

And is parallel to the equation;

$y=-2x-1$

We can derive the slope from the equation parallel to it;

$m=-2$

Using the point-slope formula;

$y=m(x-x_1)+y_1$

Substituting the point and the slope;

$\begin{gathered} y=-2(x+1)-2 \\ y=-2x-2-2 \\ y=-2x-4 \end{gathered}$

Therefore, the slope-intercept form of the equation is;

$y=-2x-4$