Answered

Given the following system of equations and its graph below,
what can be determined about the slopes and y-intercepts of
the system of equations?
66
5
y
3
2
2
-6-5-4-3-2-1
-2
-3
T
2 3 4 5 6
x+2y= 8
2x + 4y = 12



Answer :

lexie2fine

Answer: From the graph, we can see that the two lines intersect at the point (2, 2).

Now, let's examine the equations:

1) x + 2y = 8 2) 2x + 4y = 12

We can rewrite equation (2) as: 2x + 4y = 12 ÷ 2 x + 2y = 6

Notice that equation (1) and the rewritten equation (2) have the same slope (2) but different y-intercepts (8 and 6, respectively).

From this, we can determine that:

The slopes of the two lines are equal (2).

The y-intercepts of the two lines are different (8 and 6).

Step-by-step explanation: