Answer:
D, see description below.
There is a possible typo in the problem since these points have slope 25/23.
Step-by-step explanation:
To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here the points are (-4,-14) and (19,11). Substitute and simplify.
[tex]m=\frac{11--14}{19--4}=\frac{11+14}{19+4}=\frac{25}{23}[/tex]
I think there is a typo in your points (-4,-14) and (19,11) because the answer doesn't align to the answer choices. But based on them, I would answer D or 24/23 since it's the closest value.
