Answer: Second option.
Step-by-step explanation:
The Slope-Intercept form of the equation of the line is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
You know that the second equation of the System of equations given in the exercise is:
[tex]10(x+\frac{3}{5})=2y[/tex]
Then, you need to solve for the variable "y" in order to write it in Slope-Intercept form. The steps are:
1. Apply the Distributive property and simplify:
[tex]10x+\frac{30}{5}=2y\\\\10x+6=2y[/tex]
2. Now subtract 6 from both sides of the equation:
[tex]10x+6-6=2y-6\\\\10x=2y-6[/tex]
3. Subtract [tex]2y[/tex] from both sides of the equation:
[tex]10x-2y=2y-6-2y\\\\10x-2y=-6[/tex]
4. Subtract [tex]10x[/tex] from both sides:
[tex]10x-2y-10x=-6-10x\\\\-2y=-10x-6[/tex]
5. Divide both sides by -2:
[tex]\frac{-2y}{-2}=\frac{-10x-6}{-2}\\\\y=5x+3[/tex]
