Question

Which of the following equations represents the line that is graphed on the coordinate grid below

Answer 1

Answer:

C

Step-by-step explanation:

the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

and we see in the graph, when x = 0, the line goes through y = 2.

so, the equation has to be

y = -1/3 × x + 2

therefore, C is the right answer.