Question

What is the equation of this graph?

Answer 1

Answer:

D. y= -7/2x +7

Step-by-step explanation:

From the graph we see that (0,7) is a point in which our line intersects on the y axis meaning that it will be our y intercept. Thus eliminating option E.

Next, we know that this graph is moving towards the left side of the graph meaning that the values will turn negative and thus meaning that the graph is decreasing, so our slope will be negative.

We know that slope is Rise/run. In thsi case, the graph doesn't have an even run of 2x or -2x because it doesn't intersect directly at those points. This eliminates A and B.

We are now left with Options C and D. Said before, 2 is our run in this graph because when observing the graph, we see that the point (2,0) is lowered by 7 and moved to the right 2. Meaning that 7 is our rise in this case and 2 would be our Run. But because it is negative pur slope is -7/2x.

Which eliminates C. Thus leaving option D as our answer

Answer 2

Answer:

The equation would be Y= -7/2x + 7

Step-by-step explanation:

With the points given (0,7) and (2,0) we find our slope which is: -7/2. We know that our change in the y values is -7 and the change in our x values is +2. Y IS ALWAYS OVER X SO WE GET -7/2.

To find our y intercept you just look at the graph of where there's a point on the y line. For example (0,7) the 7 would be our y intercept.

So we get Y= -7/2x +7

The slope is ALWAYS put next to the variable x.

Hope this helps! :)

(Side Note: You look at the graph from left to right, so our first point would be (0,7)!)