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Published byJayson McCormick Modified over 8 years ago

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2.4 “Writing Linear Equations” ***When writing equations of lines, substitute values for: y = mx + b Given: 1.Slope and y-intercept m = -3 b = 5 Step: 1.Plug in values for “m” & “b”.

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Given: Point & Slope Steps: 1.Plug in values for “x”, “y” & “m” then solve for “b”. 2.Use the given “m” and the “b” just found and plug in to y = mx + b.

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Given: Two Points 4.(5, -2) (2, 10) 5.(4, -1) (-2, -13) Steps: 1.Use the slope formula to find “m”. y 2 – y 1 x 2 – x 1 2. Use the slope and ONE point and plug in values to y = mx + b to solve for “b”.

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Try These: 6. m = -5 b = 77. (-6, 3) (6, 7)

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Parallel & Perpendicular 8. Find the equation of a line parallel to y = -4x + 1 that goes through the point (-2, 3). Steps: 1.Use the equation given to find the slope “m”. 2.Use the given point and THE “m” you just found, then plug in to y = mx + b and solve for “b”. 3.Use the “m” & the “b” to write the equation.

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Parallel & Perpendicular 9. Find the equation of a line perpendicular to y = -3x + 2 that goes through the point (-9, 5). Steps: 1.Use the equation given to find the slope “m”. 2.Use the given point and THE “m” you just found, then plug in to y = mx + b and solve for “b”. 3.Use the “m” & the “b” to write the equation.

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Try These: 11. Find the equation of a line parallel to y = 5x - 3 that goes through the point (0, 2).

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Weird Ones 12. Write the equation of a line that passes through the point (5, -1) and is parallel with y = 2. 13. Write the equation of a line that passes through the point (3, -4) and is perpendicular with x = -3.

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