Question

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).

Answer 1

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

Explanation:

because I used a website called Desmos, and the line was not curved, but it was a straight line and the Point of each of these answers that it touched was (1,3), (3,8), and (-3,-7)

I hope that this helps you.

Answer 2

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.