October 15, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Finding intersection points graphically.

This mini-lesson shows you how to find the point of intersection for two linear equations. You know that the point of intersection of two linear equations is an ordered pair that is a solution to both of them, i.e. it "satisifies" both of them. In other words, if Ax + By + C = 0 and Dx + Ey + F = 0 represent two lines, then a point (x, y) that simultaneously satisfies both equations is the intersection point of these given lines. The circumstance under which a system of equations would have a solution is, when the lines represented by the equations intersect and they have different slopes. To find the intersection point graphically, first draw the lines on the graph. The intersection point is the point where the lines cross each other. Here you will have several algbra practice problems with solution.

This mini-lesson shows you how to find the point of intersection for two linear equations. You know that the point of intersection of two linear equations is an ordered pair that is a solution to both of them, i.e. it "satisifies" both of them. In other words, if Ax + By + C = 0 and Dx + Ey + F = 0 represent two lines, then a point (x, y) that simultaneously satisfies both equations is the intersection point of these given lines. The circumstance under which a system of equations would have a solution is, when the lines represented by the equations intersect and they have different slopes. To find the intersection point graphically, first draw the lines on the graph. The intersection point is the point where the lines cross each other. Here you will have several algbra practice problems with solution.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

- Mathematics > General
- Mathematics > Algebra
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Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Use appropriate tools strategically.

Attend to precision.

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.