Section: Math 0 Likes
In the relationship between variables x and y, each increase of 1 in (May 2023 U.S.)
In the relationship between variables x and y, each increase of 1 in the value of x decreases the value of y by 2. When x=0, y=5.
Which equation represents this relationship?
A. y = - 1/2 x + 5
B. y = - 1/2 x - 5
C. y = -2x - 5
D. y = -2x + 5
Solution
Correct answer: D. y = -2x + 5.
To determine the equation that represents the relationship between variables x and y, we need to use the given information.
The problem states that each increase of 1 in the value of x decreases the value of y by 2. This means that the relationship between x and y is linear, and the slope of the line is -2.
When x=0, y=5. This means that the y-intercept of the line is 5.
Using this information, we can write the equation as:
y = -2x + 5
Exam Edition: May 2023 U.S.
Exam Year: 2023
Related topics: Linear Relationship, Slope, Equation of a Line