Two lines, M and N, are represented by the following equations: Line M: y = x + 3
Line N: y = −2x + 6

Which of the following options shows the solution to the system of equations and explains why? Please do it quickly

Group of answer choices

(1, 4), because the point does not lie on any axis

(1, 4), because one of the lines passes through this point

(1, 4), because both lines pass through this point

(1, 4), because the point lies between the two axes

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

22

step-by-step explanation: