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Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)? A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 places to the left and 2 units up. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.

2 Answers

1 vote
Answer:
The last option(D)
User Dan Kendall
by
5.1k points
5 votes
Answer:
The last option:
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.

Step-by-step explanation:
The solution of the system would be the point of intersection of the two lines.

Before, we begin, remember that:
The right of the origin is the positive x-axis
The left of the origin is the negative x-axis
Above the origin is the positive y-axis
Below the origin is the negative y-axis

Now, let's check the givens:
1- Option A:
Intersection at 2 units to the right and 5 units down. This means that the intersection is at (2,-5) ........> incorrect option

2- Option B:
Intersection at 5 units to the right and 2 units down. This means that the intersection is at (5,-2) ........> incorrect option

3- Option C:
Intersection at 5 units to the left and 2 units up. This means that the intersection is at (-5,2) ......> incorrect option

4- Option D:
Intersection at 2 units to the left and 5 units up. This means that the intersection is at (-2,5) ......> correct option

Based on the above, the only correct choice is the last one

Hope this helps :)
User John Lim
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6.0k points