Question

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

A) It is a curve joining the points (-5, 2), (2, 3), and (4, 1).

B)It is a curve joining the points (-1, -3), (-1, -3), and (1, 5).

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

D)It is a straight line joining the points (4, -3), (-1, 2), and (-4, 5).
​

Answer 1

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

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.

__

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)