samoang2748orndcf samoang2748orndcf
  • 19-06-2019
  • Mathematics
contestada

What is the equation of the line that passes through (-3,-1) and has a slope of 2/5? Put your answer in slope-intercept form

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jimrgrant1 jimrgrant1
  • 19-06-2019

Answer:

see explanation

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}{5}[/tex], hence

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = - [tex]\frac{6}{5}[/tex] + c ⇒ c = - 1 + [tex]\frac{6}{5}[/tex] = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{1}{5}[/tex] ← in slope- intercept form

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