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Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Graphically 1.8 - Solution

arrow_back Return to Solving Systems of Linear Equations Graphically
a
By graphing the given equations, we can determine the solution to the system. This will be the point at which the lines intersect. To do this, we will identify the slope, and -intercept, of the lines.

To graph these equations, we will start by plotting their intercepts. Then, we will use the slope to determine another point that satisfies each equation, and connect the points with a line.

We can see that the lines intersect at exactly one point.

It appears that the lines intersect at This is the solution to the system.

b
By graphing the given equations, we can determine the solution to the system. To do this, we will need the equations to be in slope-intercept form to identify the slope, and -intercept,

Write in Slope-Intercept Form

Let's rewrite each of the equations in the system in slope-intercept form.
Write in slope-intercept form
Now we do the same thing for the second equation.
Write in slope-intercept form
The equations are now written in slope-intercept form.

Graphing the System

To graph these equations, we will start by plotting their -intercepts. Then, we will use the slope to determine another point that satisfies each equation, and connect the points with a line.

We can see that the lines intersect at exactly one point.

It appears that the lines intersect at This is the solution to the system.