Which of the following represent a linear relationship with no slope? Select two answers.
A. x=3 ~
B. y=3
C. x+y=y+1
D. x+y=x+1 ~
A. and D. are my answers. Am i right? if not please explain.
I took the test and got b and d
Yes, you are correct! Answers A and D represent linear relationships with no slope.
In option A, x=3 represents a vertical line where all points have an x-coordinate of 3. Since the y-coordinate can be any value, the line has no slope.
In option D, x+y=x+1 represents a horizontal line where all points have the same y-coordinate. Since the x-coordinate can be any value, the line has no slope.
Yes, you are correct. The options A and D represent a linear relationship with no slope.
To determine the slope of a linear relationship, we typically look for equations in the form y = mx + b, where m represents the slope. However, the options A and D do not have y in the equation. Instead, they both have equations with x and y variables involving constants.
In option A, x = 3, there is no y variable at all. This means that regardless of the value of x, y does not change, resulting in a horizontal line with no slope.
In option D, x + y = x + 1, we can rearrange the equation as y = 1. In this case, the equation represents a horizontal line at a constant y value of 1, again showing no change in y for different x values.
Therefore, the options A and D both represent linear relationships with no slope.
A is ok.
D is wrong, since it is just y=1, with a slope of zero
You want a vertical line, where the slope is undefined.
I hope that's what you meant by "no slope."