Question

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

Answer 1

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`