For graphing both equations, first we will find the slope(m) and y-intercept(b) by comparing both equations with [tex]y=mx+b[/tex] form.
First equation: [tex]y= \frac{1}{4}x +3[/tex] Here, [tex]m= \frac{1}{4}[/tex] and [tex]b=3[/tex]
Second equation: [tex]y=2x+10[/tex] Here, [tex]m=2[/tex] and [tex]b=10[/tex]
Now for graphing first equation, we will first plot the y-intercept at 3 and then go 1 unit up and 4 units to the right for plotting the next point.
And for graphing second equation, we will first plot the y-intercept at 10 and then go 2 units up and 1 unit to the right for plotting the next point.
(Please refer to the below graph)
The solution will be the intersection point of two graphs, which is at (-4, 2) here.
So, the solution for this system of equations is (-4, 2)
