Final answer:
None of the provided options (A, B, C, D) is a linear equation in one variable as they all involve squared terms or two variables. A linear equation in one variable should be of the form y = mx + b, with m and b as constants, and x to the first power only.
Step-by-step explanation:
You asked which of the following equations is a linear equation in one variable:
- A) y=2x²+3
- B) 2y+3=5x
- C) 3y²−4x=6
- D) x²−3y=8
A linear equation in one variable is of the form y = mx + b, where 'm' is the slope, 'b' is the y-intercept, and x is the independent variable. Looking at the given options, none of the equations is a linear equation in one variable because they all involve either the square of the variable (x² or y²) or have two variables (x and y). Therefore, the correct answer is that none of these equations is a linear equation in one variable.
To provide an example from the Practice Test 4 materials you referenced, a linear equation in one variable would look like y = 6x + 8, where both '6' and '8' are constants, and there is only one power of the variable, which is the first power (x).