it says to decide wether the graphs are parallel lines to explain my answer ...2x-12=y,y=10+2x

To determine whether two graphs are parallel lines, we need to compare their slopes. The slope of a line can be found by examining the coefficient of the x-term in its equation.

Let's start by finding the slope of the first line given by the equation y = 2x - 12. The coefficient of the x-term, which is 2, represents the slope of the line. Therefore, the slope of this line is 2.

Now let's find the slope of the second line represented by the equation y = 10 + 2x. Again, the coefficient of the x-term is 2, so the slope of this line is also 2.

Since both lines have the same slope of 2, we can conclude that the two graphs are parallel lines.