Question

Which of the following could be the equation of the graph shown below? check all that apply

Answer 1

Answer:

Only Choices A and C are correct.

Step-by-step explanation:

The graph has negative slope and its y-intercept is a positive value, and the equations we are looking for should have these two properties.

Let us look at the choices one by one.

Choice A: $3x+2y=6.$

We solve for y and get:

$y=-\frac{3}{2}x+3$

This has negative slope and positive y-intercept, therefore this choice is true.

Choice B: $y=5.$

This is a horizontal line, therefore this choice cannot be correct.

Choice C: $y=-4x+2.$

This has negative slope and positive y-intercept, therefore this choice is true.

Choice D: $2x-y=7.$

Solve for y and get:

$y=2x-7.$

This has positive slope and negative y-intercept, which are not the characteristics of our graph. Therefore this choice is not correct.

Thus only choices A and C apply.