Question

Maury has an ice rink in his backyard. The scatterplot shows the thickness of the ice relative to the temperature. Which of the following equation represents the line that is drawn? Is the correct answer A, B, C, or D?

Answer 1

y = -3x

Step-by-step explanation:

The equation of the line has the form

y = mx + b

Where m is the slope and b is the y-intercept.

To find the slope, we will use the following equation:

`m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)`

Where (x1, y1) and (x2, y2) are the coordinates of two points in the line. Replacing (x1, y1) = (0,0) and (x2, y2) = (-1, 3), we get

`m=(3-0)/(-1-0)=(3)/(-1)=-3`

Therefore, the slope is -3.

The equation crosses the y-axis at the origin, so the y-intercept is 0. Then, the equation of the line is

y = -3x + 0

y = -3x

So, the answer is

C. y = -3x