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Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Graphically 1.3 - Solution

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a

One of the line's function is known. The equation of the other function, 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 -intercept from the graph.

The slope is and the -intercept We'll now substitute these values into the slope-intercept form. To write the system of equations, we'll combine the to equations.

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

The solution to the system of equations is