Consider the line

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Consider the line y−(a+1)=52(x−a)y - (a + 1) = \dfrac{5}{2}(x - a). When written in slope–intercept form, it is y=52x+by = \dfrac{5}{2}x + b. If b=3a−4b = 3a - 4, determine the value of aa. (a) a=89a = \dfrac{8}{9} (b) a=109a = \dfrac{10}{9} (c) a=−109a = -\dfrac{10}{9} (d) a=53a = \dfrac{5}{3}

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