Answer:
y - 3 = ⁵/₂(x - 2) {the point-slope form of the equation}
y = ⁵/₂x - 2 {the slope-intercept form of the equation}
5x - 2y = 4 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁵/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
So, the point-slope form of the equation:
y - 3 = ⁵/₂(x - 2)
Therefore:
y - 3 = ⁵/₂x - 5 {add 3 to both sides}
y = ⁵/₂x - 2 ← the slope-intercept form of the equation
-⁵/₂x + y = - 2 {multiply both sides by (-2)}
5x - 2y = 4 ← the standard form of the equation
Option third "words per minute, because the independent quantity is the minutes" is the correct choice.
<h3>What is the rate of change?</h3>
It is defined as the change in values of a dependent variable with respect to the independent variables.
We have a statement:
Which of the following is the most appropriate unit to describe the rate at which a person reads?
As we know the rate of change is the ratio of change in y to change in x.
y is the dependent quantity and x is the independent quantity.
Rate of change = change in y/change in x
Rate at which a person reads = words/minute
Word is the dependent quantity and minute is the independent quantity.
Thus, option third "words per minute, because the independent quantity is the minutes" is the correct choice.
Learn more about the rate of change here:
brainly.com/question/12786410
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This is my work for the problem
