Question

Question 13 (4 points) (05.03) Which of the following statements best describes the graph of -5x + 2y = 1? (4 points)

Answer 1

Answer:

  C) straight line through (1, 3) ... (-3, -7)

Step-by-step explanation:

The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.

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intercepts

The x-intercept is the value of x that satisfies the equation when y=0.

  -5x +2·0 = 1

  x = -1/5 . . . . . . divide by the coefficient of x

The y-intercept is the value of y that satisfies the equation when x=0.

  -5·0 +2y = 1

  y = 1/2 . . . . . . divide by the coefficient of y

nature of the graph

The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.

Of the offered answer choices, A and B are eliminated because the graph is not a curve. D is eliminated because the suggested points have coordinates with opposite signs. The correct choice is C:

  It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)