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Name:_______________________ Date______________ Class________ Find the Equation of the Line Instructions: Using the points given, find the equation of the line. Once you have finished, plots each set of points. Draw a line between the points.Example: (0, 4) & (3, 6) 𝑦2 −𝑦1 6 −4 2Step 1: Find Slope: M = = = 𝑥2 −𝑥1 3 −0 3 2Step 2: Find b (y-intercept) 4= 0 +b 4=b 3 2Step 3: Write the equation of the line: Y = x + 4 3Step 4: Plot (0, 4) and (3, 6). Then connect the dots.1) (3, 6) & (5, 2) 2) (5, 2) & (0, -5)3) (0, -5) & (-5, 2)4) (-3, 6) & (-5, 2)5) (0. 4) & (-3, 6)
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ANSWER KEY Find the Equation of the Line Instructions: Using the points given, find the equation of the line. Once you have finished, plots each set of points. Draw a line between the points.Example: (0, 4) & (3, 6) 𝑦2 −𝑦1 6 −4 2Step 1: Find Slope: M = = = 𝑥2 −𝑥1 3 −0 3 2Step 2: Find b (y-intercept) 4= 0 +b 4=b 3 2Step 3: Write the equation of the line: Y = x + 4 3Step 4: Plot (0, 4) and (3, 6). Then connect the dots.1) (3, 6) & (5, 2) 2) (5, 2) & (0, -5) 𝑦2 −𝑦1 2 −6 −4 𝑦2 −𝑦1 −5 −2 −7 7M= = = = -2 M= = 0 −5 = −5 = 5 𝑥2 −𝑥1 5 −3 2 𝑥2 −𝑥1 76 = -2 (3) + b -5 = (5) (0) + b6 = -6 + b -5=b 7b = 12 y= x-5 5Y = -2x + 123) (0, -5) & (-5, 2) 𝑦 −𝑦 2 −(−5) 7 7M = 𝑥2 −𝑥1 = −5 −0 = −5 = − 5 2 1 7-5= -5(0) + b-5 = b 7Y=− x-5 54) (-3, 6) & (-5, 2) 𝑦2 −𝑦1 2 −6 −4M= = −5 −(−3) = −2 = 2 𝑥2 −𝑥16 = 2(-3) + b6 = -6 + b12 = bY = -2 x + 125) (0. 4) & (-3, 6) 𝑦 −𝑦 6 −4 2M= 2 1= = 𝑥2 −𝑥1 −3 −0 −3 24 = -3 (0) + b4=b 2Y=- x+4 3
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