Maths-
SAT
Easy

Question

In the xy-plane, line k intersects the y-axis at the point (0, - 6) and passes through the point (2, 2). If the point (20, w) lies on line k, what is the value of w?

The correct answer is: 74


    The equation of line passing through (0, -6) & (2, 2)
    fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction equals fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    fraction numerator y plus 6 over denominator 2 plus 6 end fraction equals fraction numerator x minus 0 over denominator 2 minus 0 end fraction
    fraction numerator y plus 6 over denominator 8 end fraction equals x over 2 rightwards double arrow y equals 4 x minus 6
    w = 4(20) – 6
    w = 80 – 6 = 74.

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