Given in a plane the points A(-1,4),B(2,3),C(4,5),D(m,7)
Calculate m knowing that AB // CD
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Answer:m = -2 Step-by-step explanation:slope of AB(4-3)/(-1-2)= 1/-3 = -1/3 parallel lines have the same slope slope of CD = -1/3 we can now find the line that passes through the point C y-5= -1/3(x-4)y = -1/3 x +4/3 +5 y = -1/3 x + (4+15)/3 y = -1/3 x + 19/3 this line must passes also through the point D we know its y, so: 7 = -1/3 x + 19/3 (7 * 3) = (-1/3 x + 19/3) * 3 21 = - x + 19 x = 19 - 21 x = -2