# M Linear equations also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run.

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m Linear equations also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run 2.4 Lines

Slope x y

Forms of Line General equation: Ax + By + C = 0 Slope-intercept equation: slope = m, y-intercept = b Point-slope equation: slope = m, point =

Example 1 Given a slope of 6 and a y-intercept of -5, find the equation of the line.

Given two points, (-2, 9) and (4, 1), on a line, find the equation of the line. 4-2 9 Example 2

Find the equation of the line given the x-int of -8 and y-int of 3. -8 3 Example 3

Find the equation of the line that passes through the point (11, 4) and is parallel to the line y = 3x + 5. 10 8 4 Example 4

Find the equation of the line that passes through the point (5, 22) and is perpendicular to the line y = 7. Example 5

Find the equation of the line that passes through the point (4, -1) and is perpendicular to the line y = -6x + 7. Example 6

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