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What is the equation of the line that passes through the point (5,0)and has a slope of -\frac{3}{5}​

1 Answer

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Linear Equations

Slope-intercept form:
y=mx+b

  • m = slope
  • b = y-intercept

Solving the Question

We're given:

  • m =
    -(3)/(5)
  • Passes through (5,0)

First, plug the slope into slope-intercept form:


y=-(3)/(5)x+b

Now, plug in the given point and solve for b:


0=-(3)/(5)(5)+b\\\\0=-3+b\\b=3

Now, plug b back into our original equation:


y=-(3)/(5)x+3

Answer


y=-(3)/(5)x+3

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