Answer:
Step-by-step explanation: First we need to figure out the slope. There are two ways:
Slope Intercept form:
First you need to find the slope with Δy/Δx. This will plug in as
-7 - (-6)/ 4 - 3. This will simplify to -1/1, then -1. So m = -1
Now we have the equation y = -1x + b. We need to find b.
In order to do that, we need to plug in one of the points. I'm using (3,-6) but you can use whatever point. Once we plug it in, we have -6 = -(3) + b. Solve for b and you get -3. So the final equation is y = -x - 3.
Point Slope form:
Like the slope intercept form, we need to find the slope, in which case is -1. Next, we can use one of the ordered pairs again to plug it into the equation
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]), where [tex]y_{1}[/tex] is the y of the pair and [tex]x_{1}[/tex] is the x of the pair. You can use the other points too. The final equation once you plug it in is y -(-6) = -(x-3) or y + 7 = -(x - 4).
Hope this helps!
