Choose the system of equations represented by the graph.(1 point)

Question

Responses

y=−3x+2 and y=4x−5y=−3x+2 and y=4x−5

y=3x+2 and y=−4x−5y=3x+2 and y=−4x−5

y=2x+3 and y=−5x−4y=2x+3 and y=−5x−4

y=3x−2 and y=−4x+5

Answer 1

To determine which system of equations is represented by a hypothetical graph, we need more context regarding the features of the graph, such as the slopes, y-intercepts, and intersections of the lines.

However, I can provide some insights into the equations to help you make a decision if you are able to look at the graph:

1. y = −3x + 2 and y = 4x − 5

   • The first equation has a slope of -3 and a y-intercept of 2.
   • The second equation has a slope of 4 and a y-intercept of -5.

2. y = 3x + 2 and y = −4x − 5

   • The first equation has a slope of 3 and a y-intercept of 2.
   • The second equation has a slope of -4 and a y-intercept of -5.

3. y = 2x + 3 and y = −5x − 4

   • The first equation has a slope of 2 and a y-intercept of 3.
   • The second equation has a slope of -5 and a y-intercept of -4.

4. y = 3x − 2 and y = −4x + 5

   • The first equation has a slope of 3 and a y-intercept of -2.
   • The second equation has a slope of -4 and a y-intercept of 5.

If you have access to the graph, look at the slopes and intercepts to identify which set of equations matches the characteristics of the lines. If there are any points where the lines intersect, those points can also help identify the correct system of equations.