Jessica's gross pay will be: $______
y=2x-4 ?
Both the domain and range of the function is in range -
( - ∞ , + ∞ )
We have the following function -
y = f(x) = 2x - 4
We have to identify its Domain and Range.
For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
Consider the equation given -
y = 2x - 4
If we compare it with the general equation of line -
y = mx + c
We get -
m = 2 and c = - 4
Now this graph of the equation y = mx + c represents a straight line.
Hence, both the domain and range of the function are-
( - ∞ , + ∞ )
To solve more questions on Domain and Range, visit the link below -
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By what the question asks, I assume that this refers to getting the slope in a linear equation.
The correct option is:
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
A general linear equation is given by:
y = a*x + b
where a is the slope and b is the y-intercept.
We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:
Notice that the formula is the change in y-values with respect to the x-values,
So we can conclude that the correct option is:
"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."
If you want to learn more, you can read:
Answer:
The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Slope of a line is expressed according to the formula;
Slope m = Δy/Δx
Slope = y2-y1/x2-x1
Given the coordinates (–7, 4) and (2, –3), from the coordinates;
x1 = -7, y1 = 4, x2 = 3, y2 = -3
Substitute into the formula;
Slope = -3-4/3-(-7)
Slope = -7/3+7
Slope = -7/10
Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values