Question

Consider this system of equations. Which shows the second equation written in slope intercept form?

Answer 1

Answer: Second option.

Step-by-step explanation:

The Slope-Intercept form of the equation of the line is:

$y=mx+b$

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:

$10(x+\frac{3}{5})=2y$

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:

$10x+\frac{30}{5}=2y\\\\10x+6=2y$

2. Now subtract 6 from both sides of the equation:

$10x+6-6=2y-6\\\\10x=2y-6$

3. Subtract $2y$ from both sides of the equation:

$10x-2y=2y-6-2y\\\\10x-2y=-6$

4. Subtract $10x$ from both sides:

$10x-2y-10x=-6-10x\\\\-2y=-10x-6$

5. Divide both sides by -2:

$\frac{-2y}{-2}=\frac{-10x-6}{-2}\\\\y=5x+3$