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Slope

Mathematics, Grade 7

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• Slope is used to describe the steepness or incline of a straight line. A higher slope value indicates a steeper incline. • The slope of a line can be found by dividing the rise by the run. • The y–intercept is the y–value at which a line crosses the y–axis. • The graphs of linear equations are straight lines. Graphing Linear Functions Identifying Slope & y-intercept of a line x y (-5, 3) (-1, -2) -5 -4 -3 -2 -1 1 1 2 3 4 5 2 3 4 5 -1 -2 -3 -4 -5 0 x y (-4, 4) (0, 3) Slope rise run = y–axis x –axis rise run y–intercept • Slope is . The y–intercept is 3. From the y–intercept, move 1 unit up (rise) and 4 units left (run) to find another line coordinate. Draw a line to connect the points. • A horizontal line has a slope of 0. • A vertical line has no slope. • A line with a positive slope resembles a line going uphill. • A line with a negative slope resembles a line going downhill. 1 – 4 The slope–intercept form of a linear equation is: y m x + b = y–intercept slope -4 5 The rise is 5 The run is –4 Slope rise run = = 5 – 4 Graph: y = – x + 3 1 4 y–intercept -5 -4 -3 -2 -1 1 1 2 3 4 5 2 3 4 5 -1 -2 -3 -4 -5 0 © Copyright NewPath Learning. All Rights Reserved. 93-4709 www.newpathlearning.com Slope height (rise) Steepness of the steps = depth (run) rise run

\|xiBAHBDy01684nzW • Slope is used to describe • The slope of a line can be found by dividing the by the . • The y–intercept is the y–value at which a line crosses the . • The graphs of linear equations are straight lines. Graphing Linear Functions Identifying Slope & y-intercept of a line Slope = y–axis x –axis • Slope is . The y–intercept is . From the y–intercept, move unit up (rise) and units left (run) to find another line coordinate. Draw a line to connect the points. • A horizontal line has a slope of 0 . • A vertical line has . • A line with a slope resembles a line going uphill. • A line with a slope resembles a line going downhill. The slope–intercept form of a linear equation is: y m x + b = y–intercept slope The rise is 5 The run is –4 Slope = = 5 – 4 Graph: y = – x + 3 1 4 x y -5 -4 -3 -2 -1 1 1 2 3 4 5 2 3 4 5 -1 -2 -3 -4 -5 0 . x y -5 -4 -3 -2 -1 1 1 2 3 4 5 2 3 4 5 -1 -2 -3 -4 -5 0 ( , ) ( , ) run: rise: © Copyright NewPath Learning. All Rights Reserved. 93-4709 www.newpathlearning.com Slope Key Vocabulary Terms • coordinate • function • incline • linear equation • rise • run • slope • x-axis • y-axis • y-intercept

Slope

Mathematics, Grade 7

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