The point (-4,-3) is on a line with slope 3. Find two additional points on the line.
A) (-3,0) and (-5,-6)
B) (-1,-2) and (-7,-4)
C) (-7,-4) and (-10,-4)
D) $( - 3 , - 6 )$ and $( - 5,0 )$
E) $( - 2,3 )$ and $( - 5 , - 9 )$

Question

Quizplus · Accepted Answer

Using the slope formula, $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $m = 3$, and one point is $(-4, -3)$, we can find other points on the line. For choice A, $(-3, 0)$ gives a slope of $\frac{0 - (-3)}{-3 - (-4)} = \frac{3}{1} = 3$, and $(-5, -6)$ gives a slope of $\frac{-6 - (-3)}{-5 - (-4)} = \frac{-3}{-1} = 3$, matching the given slope.

The Point (-4,-3) Is on a Line with Slope 3 (−3,−6)( - 3 , - 6 )(−3,−6)

The Point (-4,-3) Is on a Line with Slope 3 $( - 3 , - 6 )$