Answer: Option c.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
Given the equation:
![-5y = -6x + 15](https://tex.z-dn.net/?f=-5y%20%3D%20-6x%20%2B%2015)
Solve for "y" in order to write in Slope-Intercept form:
![y = \frac{-6}{-5}x + \frac{15}{-5}\\\\y = \frac{6}{5}x -3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-6%7D%7B-5%7Dx%20%2B%20%5Cfrac%7B15%7D%7B-5%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B6%7D%7B5%7Dx%20-3)
Now you can identify that that the slope and the y-intercept are:
![m=\frac{6}{5}\\\\b=-3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B6%7D%7B5%7D%5C%5C%5C%5Cb%3D-3)
A posive slope means that the the line moves upward from left to right.
With this information, you can conclude that the the graph that best represents the given equation is the graph shown in the Option c.
It always helps to draw a picture. Given the information, Segment OF is the center line that is bisecting this angle.
Since it's bisecting (cutting in half)... we can simply set the two angles equal to each other.
y+30=3y-50
-2y+30=-50
-2y=-80
y = 40
C)40.
If it's parallel to the y axis this means the slope will be any number over 0 with means it's D undefined