Use the form y=mx +b for linear equations.Write the equation for the following relation.C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}
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I'm not sure if the answer is right, but here you go. y=mx+b 'm' is for gradient of the line. First, calculate the gradient. Let's use (6,15) and (8,21) Gradient, m = [latex]y_{2} [/latex] - [latex] y_{1} [/latex] -------------- [latex] x_{2} [/latex] - [latex] x_{1} [/latex] = 21 - 15 = 6 = 3 ----------- ---- 8 - 6 2 Therefore, m = 3 . Now let's search 'b' . Let's use (6,15) again. Substitute it into the equation. y=mx+b 15 = 3 (6) + b b = -3 Thus, the equation : y=3x -3
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