Respuesta :

Answer:

Step-by-step explanation:

To find slope you have to take y2-y1 over x2-x1

y2=your second y poiny

y1=first y point

x2=second x point

x1=first x point

Since it is minus a negative you get to change it to a plus sign, because they cancel each other out.

3 + 7  

____

-4-0

10/-4

This isn't quite simplified, so you find a common factor for the numerator (top number) and the denominator (bottom number). You should note the number has to go into both numbers, not just one. The largest common factor would be 2 in this case.

10/2=5

-4/2=-2  

Now your simplified answer would be 5/2  

The slope of the line will be "[tex]-\frac{5}{2}[/tex]".

The given points are:

  • [tex](x_1, y_1) = (0,-7)[/tex]
  • [tex](x_2, y_2)= (-4,3)[/tex]

The slope (m) will be:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the given values, we get

= [tex]\frac{3-(-7)}{-4-0}[/tex]

= [tex]\frac{3+7}{-4}[/tex]

= [tex]-\frac{10}{4}[/tex]

= [tex]-\frac{5}{2}[/tex]

Thus the above slope is right.

Learn more about slope here:

https://brainly.com/question/18735174