Question

Write an equation, of the slope intercept form, of the line with slope $-2$ and passing through the point $(-4,-5)$

Answer 1

Use the slope $-2$ and the point $(-4,-5)$ to find the $y$-intercept.

$y=mx+b$

$\Rightarrow -5=(-2\times -4)+b$

$\Rightarrow -5=8+b$

$\Rightarrow b=-13$

Write the equation in slope intercept form as:

$y=mx+b$

$\Rightarrow y=(-2)x-13$

Hence, the equation of the line is $y=-2x-13$.