Find the slope of the line through the pair of points.
(-2,4) and (-9,-5)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
m
enter your response here (Type an integer or a fraction. Simplify your answer.)
B.
The slope is undefined.
To find the slope of the line passing through the points (-2,4) and (-9,-5), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points, we have:
m = (-5 - 4) / (-9 - (-2))
= (-5 - 4) / (-9 + 2)
= -9 / -7
Simplifying the fraction, we get:
m = 9/7
Therefore, the slope of the line passing through the points (-2,4) and (-9,-5) is 9/7.
Answer: A. m = 9/7