johntasiaharrison johntasiaharrison
  • 09-01-2021
  • Mathematics
contestada

A line passes through the point (-4 , -8) and has a slope of -3/2.
Write an equation in slope - intercept form for this line.

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devishri1977
devishri1977 devishri1977
  • 10-01-2021

Answer:

[tex]y = \frac{-3}{2}x - 14[/tex]

Step-by-step explanation:

(-4 , -8)  ;  slope = (-3/2)

Equation of the line: y - y₁ = m( x- x₁)

[tex]y - [-8] = \frac{-3}{2}(x - [-4])\\\\y + 8 = \frac{-3}{2}(x +4)\\\\y + 8 = \frac{-3}{2}x +(\frac{-3}{2})*4\\\\y + 8 = \frac{-3}{2}x - 3 * 2\\\\ y = \frac{-3}{2}x -6 -8\\\\y = \frac{-3}{2}x - 14[/tex]

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