Answer:
The answer is
[tex] \huge - \frac{5}{2} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{3 - - 7}{ - 4 - 0} = \frac{3 + 7}{ - 4} = - \frac{10}{4} = - \frac{5}{2} \\ [/tex]
We have the final answer as
[tex] - \frac{5}{2} \\ [/tex]
Hope this helps you
