Which system of linear equations appears to have a solution of (-1,4)?
1 answer:
Answer:
The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.
The correct graph is also attached below.
Step-by-step explanation:
We know when two lines meet at a certain point, the point where they meet is called the point of intersection.
We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.
We are given the point (-1, 4) as the solution of the system of linear equations.
It means the two lines meet at x = -1, and y = 4.
In other words,
(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.
Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.
The 3rd graph indicates that the two lines meet at x = -1, and y = 4.
Hence, the point of intersection of 3rd graph is:
(x, y) = (-1, 4)
Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.
The correct graph is also attached below.
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Using linear function concepts, it is found that:
a) The initial value is of 3 and the rate of change is of 20.
b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
<h3>What is a linear function?</h3>A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.
In this problem, the function that gives the charge C for renting a bicycle for h hours is:
Item a:
Comparing to the standard function, we have that:
- The initial value is of 3 and the rate of change is of 20.
Item b:
The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
You can learn more about linear function concepts at brainly.com/question/24808124