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ALGEBRA 1 CC Find Slope and x- and y-intercepts

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Vocabulary The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points on the line. A rate of change compares a change in one quantity to a change in another quantity.

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Two methods to find the slope of a line. Use the graph: Use the formula:

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Example 1 Find the slope of the line shown.

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Example 2 and 3 2) Find the slope of the line that passes through the points (-8, 3) and (4, -5). 3) Find the slope of the line that passes through the points (2, 9) and (-3, -4).

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Example 4 and 5 Find the slope of the lines shown.

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Vocabulary The x-coordinate of a point where a graph crosses the x- axis is an x-intercept. The y-coordinate of a point where a graph crosses the y- axis is a y-intercept.

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Example 6 Identify the x-intercept and y-intercept of the graph.

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Example 7 & 8 Identify the x-intercept and y-intercept of the graph.

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To find the x- and y-intercepts algebraically, given the equation of a graph: x-intercept: set y=0 and solve for x. y-intercept: set x=0 and solve for y.

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Example 9 Find the x-intercept and the y-intercept of the graph of 6x – 4y = 36

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Example 10 Find the x-intercept and the y-intercept of the graph of 2y – 7x = 21

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