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Determine the Slope of a Line Using the Slope Formula

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Determine the Slope of a Line Using the Slope Formula

TEKS Math: 8.4.C

(C) Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.

CCSS Math: 8.EE.6

8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

This algebra and functions lesson focuses on determining the slope of a line using the slope formula. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students label the points as x1, y1, and x2, y2. Then, they substitute the y- and x- values into the slope formula. Finally, they determine the slope of the line and interpret it by identifying the direction of the line. In addition to the lesson, there are five pages of Independent Practice and review with questions modeled after current adaptive testing items.

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Standard Alignments:

TEKS Math: 8.4.C

(C) Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.

CCSS Math: 8.EE.6

8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.


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