Question

Graph the following lines and write the equation in slope-intercept form. Through the point (2,−4) with y-intercept of −2.

Answer 1

For this case we have that by definition, the equation in the form of slope-intersection is given by:

$y = mx + b$

Where

• m is the slope

• b is the cut point

Substituting the given point: $(x, y) = (2, -4)$ and the cutoff point $b = -2$ we can find the slope,

We have:

$-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m$

$m =-\frac{2}{2}\\m = -1$

Thus, the equation is given by:

$y = -x-2$

Answer:

$y = -x-2$

See attached image