Answer :

theleangreenbean

Linear Equations

Slope-intercept form: [tex]y=mx+b[/tex]

  • m = slope
  • b = y-intercept

Solving the Question

We're given:

  • m = [tex]-\dfrac{3}{5}[/tex]
  • Passes through (5,0)

First, plug the slope into slope-intercept form:

[tex]y=-\dfrac{3}{5}x+b[/tex]

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

[tex]0=-\dfrac{3}{5}(5)+b\\\\0=-3+b\\b=3[/tex]

Now, plug b back into our original equation:

[tex]y=-\dfrac{3}{5}x+3[/tex]

Answer

[tex]y=-\dfrac{3}{5}x+3[/tex]

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