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?

A line includes points 0 comma 4 and 2 comma 3. A line includes points 0 comma 3 and 4 comma 1. x + 2y = 8
2x + 4y = 12
The slopes are different, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
The slopes are the same, and the y-intercepts are the same.

The slopes are the same, and the y-intercepts are different

Step-by-step explanation:

To find the slope of each equation, we first need to rewrite the equations isolating y. So, we have that:

First equation:

x + 2y = 8

2y = 8 - x

y = -0.5x + 4

Second equation:

2x + 4y = 12

x + 2y = 6

2y = 6 - x

y = -0.5x + 3

The slope is the coefficient of x, and they are the same in both equations, so they have the same slope.

The y-intercepts is the constant that is not multiplied by x, so in the first equation it is 4, and in the second it is 3, so the equations don't have the same y-intercepts.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.