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One of the line's function is known. $y=0.5x−2$ The equation of the other function, $y=f(x),$ can be found from the graph. Let's say we want to write equation in slope-intercept form. Thus, we identify the slope and the $y$-intercept from the graph.

The slope is $m=2-2 =-1$ and the $y$-intercept $b=10.$ We'll now substitute these values into the slope-intercept form. $y=-1⋅x+10⇔y=-x+10$ To write the system of equations, we'll combine the to equations. ${y=-x+10y=0.5x−2. $

b

The solution to the system of equations is where the lines intersect. If you take a look at the graph, you see that the lines intersect in the point $(8,2).$

The solution to the system of equations is $(8,2).$