Question

Graph the system of equation on graph paper or in your calculator, y=−4/3x+4y=−2/3x−2

Which statements are true about the solution to the system of equations?

Select EACH correct answer.

Question 2 options:

The ordered pair that is the solution to the system lies in Quadrant I.


The ordered pair that is the solution to the system lies in Quadrant IV.


The x-coordinate of the solution is 8.


The x-coordinate of the solution is 9.


The y-coordinate of the solution is -8.


The y-coordinate of the solution is 9.

Answer 1

To graph the system of equations, rewrite them in slope-intercept form and identify the slope and y-intercept of each equation. Plot the two lines on a graph to find their point of intersection. The correct statements about the solution to the system of equations are...

Step-by-step explanation:

To graph the system of equations, we can rewrite them in slope-intercept form:

y = -4/3x + 4 (Equation 1)

y = -2/3x - 2 (Equation 2)

Now, let's identify the slope and y-intercept of each equation:

• Equation 1: slope = -4/3, y-intercept = 4
• Equation 2: slope = -2/3, y-intercept = -2

By plotting the two lines on a graph, we can find their point of intersection, which represents the solution to the system of equations.

Now, let's analyze the given statements:

• The ordered pair that is the solution to the system lies in Quadrant I. (False)
• The ordered pair that is the solution to the system lies in Quadrant IV. (True)
• The x-coordinate of the solution is 8. (False)
• The x-coordinate of the solution is 9. (False)
• The y-coordinate of the solution is -8. (False)
• The y-coordinate of the solution is 9. (True)

Therefore, the correct statements about the solution to the system of equations are:

• The ordered pair that is the solution to the system lies in Quadrant IV.
• The y-coordinate of the solution is 9.