Question

The graph shows two lines, A and B.

A coordinate plane is shown. Two lines are graphed. Line A has equation y equals negative 3 x plus 15. Line B has equation one half x plus 2.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (4 points)


(4, 4) is the solution to line A but not to line B.

(4, 4) is the solution to both lines A and B.

(5, 1) is the solution to line B but not to line A.

(0, 2) is the solution to both lines A and B.

Answer 1

second option: (4, 4) is the solution to both lines A and B.

Explanation:

You know that the equation of line A is:

`y=-3x+15`

and the equation of line B is:

`y=(1)/(2)x+2`

The point in which the line A intersects with the line B is the solution of the sytstem of equations.

You can observe in given graph that the point of intersection of Line A and Line B is: (4,4)

Therefore (4, 4) is the solution to both lines A and B.

Answer 2

(4, 4) is the solution to both lines A and B.

Explanation:

Given graph shows two lines, A and B.

Based on the graph, we need to find about which statement is correct about the solution to the system of equations for lines A and B. Where give choices are:

(4, 4) is the solution to line A but not to line B.

(4, 4) is the solution to both lines A and B.

(5, 1) is the solution to line B but not to line A.

(0, 2) is the solution to both lines A and B.

From graph we can see that both lines intersect at point (4,4). Since solution lies on both lines so the correct choice is:

(4, 4) is the solution to both lines A and B.