Which of the following statements best describes the graph of −5x + 2y = 1?
it is a curve joining the points (−5, 2), (2, 3), and (4, 1).
it is a curve joining the points (−1, −3), (−1, −3), and (1, 5).
it is a straight line joining the points (1, 3), (3, 8), and (−3, −7).
it is a straight line joining the points (4, −3), (−1, 2), and (−4, 5).

First, we determine that the given equation in this item is a linear equation. Thus, it should be a straight line. With this, we are left with the third and fourth choice. Then, we substitute the given data points to the equation and see if the points satisfy the given.

Choice 3:

            (1,3)   :    (-5)(1) + (2)(3) = 1   TRUE

            (3,8)   :    (-5)(3) + 2(8) = 1      TRUE

            (-3,-7) :    (-5)(-3) + (2)(-7) = 1 TRUE

Choice 4:

            (4,-3)  :  (-5)(4) + (2)(-3) ≠ 1     FALSE

            (-1,2)   : (-5)(-1) + (2)(2) ≠ 1     FALSE

            (-4,5)   : (-5)(-4) + (2)(5) ≠ 1    FALSE

Thus, the answer is the third choice.

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step-by-step explanation:

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translate k to n and reflect across the line containing jk.