Respuesta :

Answer:

5/4

Step-by-step explanation:

the equation for slope is:

y² - y¹

m= x² - x¹ , except the ones and twos are at the bottom by the x. if you plug into the equation you get:

-7 - 8

m= 5 - (-7) = 5 + 7. that equation equals

-15. 5

m = 12 = 4

Slope of the line passing through the points (-7, 8) and (5, -7) is  [tex]\frac{-5}{4}[/tex]

What is slope of the line?

The slope of a straight line between two points says ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex])can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.

As we know that slope of line (m)  passing through ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) is given as

m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

As the line passing through the points (-7, 8) and (5, -7)

m = [tex]\frac{-7-8}{5-(-7)}[/tex]

m = [tex]\frac{-15}{12}[/tex]

m = [tex]\frac{-5}{4}[/tex]

Hence, slope of the line passing through the points (-7, 8) and (5, -7) is  [tex]\frac{-5}{4}[/tex]

Learn more about slope of the line here

https://brainly.com/question/14511992

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