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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