Answer:
[tex]\text\large\boxed{y=-\frac{3}{5}x+4}\large\boxed[/tex]
Step-by-step explanation:
To get an equation into slope intercept form, we must convert it into the following form:
- [tex]y=mx+b[/tex], where
- m = slope
- b = y-intercept
We can algebraically manipulate this equation to achieve the desired outcome.
- Subtract 3x from both sides: [tex]5y=20-3x[/tex]
- Divide both sides by 5: [tex]y=4-\frac{3}{5}x[/tex]
- Rearrange the equation to put mx first: [tex]y=-\frac{3}{5}x+4[/tex]
Therefore, the slope-intercept form of this equation is [tex]y=-\frac{3}{5}x+4[/tex].
Hope this helped!
