First, we will find the equation for line A, then we will see that the correct options are B and F.
Working with linear equations:
A general linear equation is written as:
y = a*x + b
Where a is the slope (or rate of change) and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We can use that to find the slope for equation A.
I will use the points (1, 2) and (3, 10).
[tex]a = \frac{10 - 2}{3 - 1} = 4[/tex]
then the equation is something like:
y = 4*x + b
To find the value of b, we can use one of the two points above, for example, if we use the first one, it means that when x = 1 we must have y = 2, then:
2 = 4*1 + b
2 - 4 = b
-2 =b
The equation for line A is:
y = 4*x - 2
Then we have:
- Line A: y = 4*x - 2
- Line B: y = 3*x + 4.
Then the statements that are correct are:
B) "The y-intercept of Function A is less than the y-intercept of Function B."
F) "The rate of change of Function A is greater than the rate of change of Function B"
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
