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Published byPierce Brooks Modified over 4 years ago

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WRITING LINEAR EQUATIONS 5.1 AND 5.2

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WRITING A LINEAR EQUATION GIVEN THE SLOPE AND Y-INTERCEPT Use the equation y = mx + b The slope is the m in the equation. The b is the y-intercept in the equation. The equation of your line should be in the form y = #x + # where you have filled in for the missing #’s Slope = 5 and the y-intercept = -3 y = 5x - 3 slope y-intercept

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WRITING A LINEAR EQUATION GIVEN A POINT AND THE SLOPE. Use the equation y = mx + b The slope is your m in the equation. The point is your x and y in y = mx + b. The only part of the equation that you do not know is b, so you must find it. Substitute in x, y, and m into y = mx + b and solve for b. After finding b, go back to y = mx + b and substitute in the value of b and the slope. 5 = 1 + b 4 = b m b

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WRITING A LINEAR EQUATION WITH TWO POINTS (-8, 84), (5, -46) Pick point -46 = -10(5) + b -46 = -50 + b +50 4 = b Substitute in m and b y = -10x + 4

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