There needs to be a picture
well, if we try to plot and conect them, we will get square, so the answer is d
The slope (m) = -13.
We can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let (x1, y1) = (7, 26)
(x2, y2) = (12, -39)
Plug in the values into the formula:
m = (y2 - y1) / (x2 - x1)
m = (-39 - 26) / (12 - 7)
m = -65/5
m = -13
You are given two points on a line, and told that the function is "direct variation." You can save a lot of time by recognizing that the y-intercept here is zero (0). Thus, the line passes through the origin.
A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.
