Question

Ten points to whomever solves this problem and shows steps! Thank you so much!

Answer 1

To graph each equation, you should first plot the y-intercepts.  The y-intercept is 3 for the first equation and 10 for the second [see picture 1].

Next, observe the slope.  In the first equation, it's $\frac{1}{4}$.  Since you write slope in $\frac{y}{x}$ or rise-over-run format, you would rise 1 unit and run 4 units right to get the next point.  In a similar way, you could go down 1 unit and run 4 units left to get another point, since $\frac{-1}{-4} = \frac{1}{4}$.  Fill in as many points on the plane as you can, then connect them with a line [see picture 2].

The slope of the second equation is 2, or $\frac{2}{1}$, meaning we would rise 2 and run 1 right.  Plot these points and connect then with a line [see picture 3].

After observing the graph, we can see that the intersection point is at (4, 11).