madimurray0015 madimurray0015
  • 06-05-2021
  • Mathematics
contestada

What is the equation of the line that passes through the point (−4,−3) and has a slope of \frac{3}{4}

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jimrgrant1 jimrgrant1
  • 06-05-2021

Answer:

y = [tex]\frac{3}{4}[/tex] x

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{3}{4}[/tex] , then

y = [tex]\frac{3}{4}[/tex] x +c ← is the partial equation

To find c substitute (- 4, - 3) into the partial equation

- 3 = - 3 + c ⇒ c = - 3 + 3 = 0

y = [tex]\frac{3}{4}[/tex] x ← equation of line

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