Answer:
The answer is A.
Step-by-step explanation:
We can easily eliminate answers C and D, because their y-intercept is not 4. We do this because according to the graph, where the line intercepts the y-axis is at the point, 4. Looking at the slope equation y=mx+b, where <em>b </em>represents the y-intercept, it is clear to see that when you plug 4 as b into the equation, the equation would be y=mx+4. However, answers C and D do not give us that y-intercept. Therefore, those two are wrong.
Now we're left with A and B. To understand why B is incorrect, we should know that the variable <em>m </em>in the same slope equation, y=mx+b, represents y/x, also commonly known as rise over run. If this is all new to you, no fear. The phrase "rise over run" just is a helpful tip to remind you what <em>y </em>and <em>x</em> are. The "rise", representing the variable <em>y</em>, means that it can travel either up or down, so vertically. And vice versa. The "run", representing the variable <em>x</em>, means that it can travel either left or right, so horizontally.
Now that we've cleared that out, you want to count how many points there are for y, or rise, until you've met a point where you can create a right triangle figure. I counted downwards, going in a negative direction, three spaces, getting to 1. From the x-axis, I started from -4 and counted to (1,0), where it would create a right triangle figure. With these calculations, I put -3/-4, which, after simplifying and canceling the negatives (two negatives equals one positive), I got the answer 3/4.
Going back to the equation, if we plug in all the values to get y=3/4x+4, that is clearly A, and not B.
Hope this helped, although it was a very lengthy explanation! Sorry I was two weeks late. I didn't see this until now.
