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Published byHayden Dalton Modified over 2 years ago

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WRITING AN EQUATION OF A LINE DETERMINE THE EQUATION OF A LINE AND/OR GRAPH A LINEAR EQUATION.

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Slope-intercept Formy = mx + b Slope y-intercept any ordered pair (x,y)

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The method used to write an equation of a line depends on the information about the line that is available.

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IF GIVEN THE SLOPE AND Y-INTERCEPT, slope-intercept form. 5 Example m = 5, b = 7 y = ___ x + ___ 7

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IF GIVEN A POINT AND THE SLOPE, Example m = –2, contains (5, –8) Step 1 Substitute –2 for m, 5 for x, and –8 for y; then simplify to find the value of b. y = mx + b –8 = –2(5) + b –8 = –10 + b 2 = b Step 2 Substitute –2 for m, and 2 for b. y = –2x + 2

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IF GIVEN TWO POINTS, First, find the slope using the slope formula. Example contains (5, –8) and (2, 7) m = 7 – – 5 m = 15 –3 m = –5

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IF GIVEN TWO POINTS, CONTINUED Then use the slope you just found and EITHER point to work like the previous example. y = -5x + b 7 = -5 (2) +b 7 = b 17 = b y = –5x + 17 m = –5, contains (5, –8) and (2, 7)

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PARALLEL LINES

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YOU TRY Find the equation of each line using the given information. 1)m=2, y-intercept is -1 2)the line passes through the points (8, 2) and (12, 4) 3)the line is parallel to the line y = x + 4, and passes through the points (6, 7)

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