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Graphing Linear Equations

Grade 8 · Math · Linear Equations · Nevada, USA

Lesson Summary

Plot linear equations on the coordinate plane by finding points.

Explanation

A linear equation produces a straight line when you graph it. To graph one, pick a few values for x, plug them into the equation to find y, and then plot those (x, y) points on a coordinate plane. Connect the points with a straight line. You only need two points to define a line, but three points help you double-check your work.

Practice Questions

Q1: Name two points on the line y = 2x + 1.
Answer: When x = 0, y = 1, giving (0, 1). When x = 1, y = 3, giving (1, 3). So two points are (0, 1) and (1, 3).
Q2: Does the point (3, 7) lie on the line y = 2x + 1?
Answer: Yes. Substituting x = 3 gives y = 2(3) + 1 = 7, which matches, so the point is on the line.
Q3: What is the y-intercept of y = −3x + 5?
Answer: The y-intercept is 5 because when x = 0, y = −3(0) + 5 = 5. The line crosses the y-axis at (0, 5).
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People Also Ask

What is Graphing Linear Equations in Grade 8 Math?+

Graphing Linear Equations is a lesson in the Linear Equations chapter of Grade 8 Math. It is part of the Nevada, USA school curriculum and covers key concepts that students need to understand at this level.

What grade level covers Graphing Linear Equations?+

Graphing Linear Equations is taught in Grade 8 as part of the Math curriculum in Nevada, USA.

How can I help my child with Linear Equations in Math?+

Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Linear Equations topics.

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