Answer:
y = (5/3)x + 4
Explanation:
To put the equation into the slope-intercept form, we need to solve the equation for y.
So, adding 5x to both sides of the equation:
[tex]\begin{gathered} -5x+3y=12 \\ -5x+3y+5x=12+5x \\ 3y=12+5x \end{gathered}[/tex]Dividing both sides by 3:
[tex]\begin{gathered} \frac{3y}{3}=\frac{12+5x}{3} \\ y=\frac{12}{3}+\frac{5}{3}x \\ y=4+\frac{5}{3}x \end{gathered}[/tex]Finally, the equation into the slope-intercept form is:
[tex]y=\frac{5}{3}x+4[/tex]Where 5/3 is the slope and 4 is the intercept.
