Question

Help help help help help help math math

Answer 1

Hi There!

First of all, we have 2 points:

(1, -2)

And

(0, -5)

In order to find the slope, we need to use the following formula:

$\displaystyle\frac{y2-y1}{x2-x1}$

Plug in the values:

$\displaystyle\frac{-5-(-2)}{0-1}$

$\displaystyle\frac{-5+2}{-1}$

$\displaystyle\frac{-3}{-1}$

Divide:

$3$

This is the slope.

Now, what about the y-intercept?

The y-intercept is the point where the graph touches the y-axis.

This is the point (0, -5)

Thus, the y-intercept is -5.

The equation is: y=3x-5

And we're done!

Hope it helps!

Have an awesome day!

-Starry