Question

Select all that apply.

The slope of the graph of a direct variation function is -3. Which of the following is true?

The equation is y = -3x.
The function is linear.
The equation of the function is y = -x .
The point (2, -6) is on the graph of the function.

Answer 1

B. The function is linear. (A and D COULD work)

Explanation:

If the graph of a direct variation function has a slope of -3, then we know that the function is linear, and that m in the equation y = mx + b is -3. However, option A could be incorrect since we don't know if there is a y-intercept or not. C is wrong because of -3 being the slope, and D would only be true if A was also correct. So that leaves B. (If you know that there is more than one option, then A, B, and D are correct.)

Answer 2

a and b are correct

c is wrong

d can't be decided, because it can be true for one case, but not for others.

so only go for a and b