Graph the line with slope -3 passing through the point (5,-4)
1 answer:
Since we have the values of one point and the slope, we can graph that point and then, by using the slope, graph another point, and then have our line.
The first step is to draw (5, -4) on the coordinate plane. Now we can use the slope to help us figure out a second point.
The slope -3 says that for every -3 that we go up (for every 3 we go down), we go 1 to the right. So, we can subtract 3 from the y coordinate of our point (go down 3), and we can also add one to the x coordinate of our point (right 1).
This gives us our next point of (6, -7). Since we have to points, we can draw a line. The graph looks like:
You might be interested in
We know for our problem that the zeroes of our quadratic equation are 
and 
, which means that the solutions for our equation are 
and 
. We are going to use those solutions to express our quadratic equation in the form 
; to do that we will use the <span>zero factor property in reverse:
</span>
<span>
</span>
<span>
Now, we can multiply the left sides of our equations:
</span>
<span>= </span>
=
=
Now that we have our quadratic in the form, we can infer that 
and 
; therefore, we can conclude that 
.
</span>
<span>
</span>
<span>
Now, we can multiply the left sides of our equations:
</span>
<span>= </span>
=
=
Now that we have our quadratic in the form