Question

Use the image to answer the question.

A graph shows both the x-axis and y-axis, ranging from negative 10 to 10 in increments of 5. A line passes through the first, third, and fourth quadrants.

Which of the following ordered pairs is part of the solution set for the equation y=3x−4
?

Option #1: (−1,0)


Option #2: (0,−4)


Option #3: (3,4)


(1 point)
Option #
is part of the solution set for the

Answer 1

The ordered pairs represent points on the graph. We can determine if a point is part of the solution set by substituting the x and y-values into the equation and seeing if both sides are equal.

Let's check each option:

Option #1: (−1,0)
Substituting x = -1 and y = 0 into the equation:
0 = 3(-1) - 4
0 = -3 - 4
0 = -7

Since -7 is not equal to 0, option #1 is not part of the solution set.

Option #2: (0,−4)
Substituting x = 0 and y = -4 into the equation:
-4 = 3(0) - 4
-4 = -4

Since -4 is equal to -4, option #2 is part of the solution set.

Option #3: (3,4)
Substituting x = 3 and y = 4 into the equation:
4 = 3(3) - 4
4 = 9 - 4
4 = 5

Since 4 is not equal to 5, option #3 is not part of the solution set.

Therefore, the correct answer is option #2: (0, -4).