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