godblessing837 godblessing837
  • 14-01-2019
  • Mathematics
contestada

A line passes through the point(-9,-5) and has a slope of 2/3 . write the equation for this line

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jimrgrant1 jimrgrant1
  • 14-01-2019

Answer:

y = [tex]\frac{2}{3}[/tex] x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = [tex]\frac{2}{3}[/tex], hence

y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 9, - 5) into the partial equation, that is

- 5 = - 6 + c ⇒ c = - 5 + 6 = 1

y = [tex]\frac{2}{3}[/tex] x + 1 ← equation of line



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