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.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

step-by-step explanation: