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A line with a slope of four passes through the points (4, t) and (2,1). What is the value of t

A Line With A Slope Of Four Passes Through The Points 4 T And 21 What Is The Value Of T class=

Sagot :

Answer:

t = 9

Step-by-step explanation:

Calculate the slope between the 2 points using the slope formula then equate to 4

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

with (x₁, y₁ ) = (4, t ) and (x₂, y₂ ) = (2, 1 )

m = [tex]\frac{1-t}{2-4}[/tex] = [tex]\frac{1-t}{-2}[/tex] = 4 ( multiply both sides by - 2 )

1 - t = - 8 ( subtract 1 from both sides )

- t = - 9 ( multiply both sides by - 1 )

t = 9

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