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A line passes through the points (3,-6) and (5,-14).
A) Write an equation in point-slope format.
B) Write an equation in slope-intercept format.

Sagot :

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Answer:

point-slope equation: y + 6 = -4 ( x - 3 )

slope-intercept equation: y = -4x + 6

Step-by-step explanation:

point-slope equation format:  [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

slope-intercept equation format:  [tex]y=m x+b[/tex]

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coordinates: (3,-6) and (5,-14)

find slope using: [tex]\frac{y2-y1}{x2-x1}[/tex]

                          : [tex]\frac{-14--6}{5-3}[/tex]

                          : [tex]\frac{-8}{2}[/tex]

                          : -4

point-slope equation:

y - -6 = -4 ( x - 3 )

y + 6 = -4 ( x - 3 )

slope-intercept equation:

y + 6 = -4 ( x - 3 )

y = -4x + 12 - 6

y = -4x + 6

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