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Find the missing value so that the line passing through the 2 points has the given slope.
(12, -12) and (7,y); slope: -3


Sagot :

Answer:

y = 3

Step-by-step explanation:

Calculate the slope between the 2 points using the slope formula, then equate to - 3

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

with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )

m = [tex]\frac{y-(-12)}{7-12}[/tex] = [tex]\frac{y+12}{-5}[/tex] = - 3 ( multiply both sides by - 5 )

y + 12 = 15 ( subtract 12 from both sides )

y = 3