Respuesta :

nonsibi

We want the equation of the line shown. All the answer choices are in slope intercept form. Let's find the slope and then match it with the right answer.

To do this, pick two points on the line and find the rate of change. We will pick (1,70) and (3,0).

slope: (70-0)/(1-3) = -35

Only the third equation works.

answer: third choice

keziakh004

Answer:

C  y = -35x + 105

Step-by-step explanation:

You can cancel out answer choices A and D because this is a negative function.  That means that the line goes down like \.  If it is a positive function, it will go up like /.

This leaves B and C.  The next best way to solve this is to plug in a number and see if the points match up.  I'm going to plug in 1 cause it is easiest to solve, but you can pick a different number and still get the right answer.

B first.

y = -70(1) + 105

y = -70 + 105

y = 35

If the answer is B, the line should cross at the point (1, 35).  If you look at the graph, it does not cross at (1, 35).  Logically speaking, C is the answer, but I will work out the problem.

For C:

y = -35(1) + 105

y = -35 + 105

y = 70

The graph should cross at the point (1, 70).  If you look at the graph, you can see that this is correct.