Answer:
Step-by-step explanation:
First we need to find the <u>slope of the line between these two points</u>.
We do this by applying this slope formula:
(might be a bit small, sorry)
Since we are given two ordered pairs we'll declare the pair (-3, -3) as "x1" and "y1" while (0, 3) will be "x2" and "y2".
Lets now plug in the numbers we're given!
![\frac{3-(-3)}{0-(-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B3-%28-3%29%7D%7B0-%28-3%29%7D)
Remember that two negatives equals a positive, therefore we'll be adding both the negative 3's in the equation. This will come out to:
and can be reduced to just 2
Now that we have the slope of the line, what about the y-intercept where we start?
We will <u>plug in either the "x2" and "y2" or "x1" and "y2" variable into a slope-intercept form equation</u>. For this example I'll just use the "x1" and "y2" variable. <u>(0 as x and 3 as y)</u>
(remember that we're solving for b!)
Then it's just simple algebra.
![-3=-6+b](https://tex.z-dn.net/?f=-3%3D-6%2Bb)
![3=b](https://tex.z-dn.net/?f=3%3Db)
Huzzah! We now have our y-intercept for our slope-intercept equation!
Therefore we just plug in the slope for the "m" spot and 3 for the "b" spot.
![y = 2x+3](https://tex.z-dn.net/?f=y%20%3D%202x%2B3)
<u>Hope this helped! If you have any questions feel free to ask!</u>