5x29fk68pm
5x29fk68pm 5x29fk68pm
  • 10-10-2021
  • Mathematics
contestada

A line has a slope of -4 and includes the points (-3, p) and (-4,0). What is the value of p?

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jimrgrant1 jimrgrant1
  • 10-10-2021

Answer:

p = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

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

with (x₁, y₁ ) = (- 3, p ) and (x₂, y₂ ) = (- 4, 0 )

m = [tex]\frac{0-p}{-4-(-3)}[/tex] = [tex]\frac{-p}{-4+3}[/tex] = [tex]\frac{-p}{-1}[/tex] = p = - 4

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