csmith0686 csmith0686
  • 18-12-2021
  • Mathematics
contestada

A line passes through the point (-2,-6) and has a slope of 5/2. Write an equation in slope-intercept from this line.

Respuesta :

jimthompson5910 jimthompson5910
  • 18-12-2021

Answer:    y = (5/2)x - 1

Slope = 5/2

y intercept = -1

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Work Shown:

m = 5/2 = slope

(x1,y1) = (-2,-6) = point the line goes through

y-y1 = m(x-x1) .... point slope form

y-(-6) = (5/2)(x-(-2))

y+6 = (5/2)(x+2)

y+6 = (5/2)x + (5/2)*2

y+6 = (5/2)x + 5

y = (5/2)x + 5 - 6

y = (5/2)x - 1

This equation is in slope intercept form y = mx+b

m = 5/2 = slope

b = -1 = y intercept

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