Question

Are all linear equations functions? Why or why not?

Answer 1

x=k where k is a constant is NOT a linear equation. Linear equations consist of a variable. A constant CANNOT be a variable therefore x=k is NOT a linear equation. Neither is y=k. Linear equations have a slope, if it doesn't then it's not a linear equation.***

All linear equations will mean the requirement of a function, The horizontal line test. There are no instances where a linear equation is not a function. As long as it passes the linear line test it is a function.

Answer 2

Thank you.
Are there not any linear equations that do not have a slope? What would they be called?

Answer 3

Well yes, but it would be called a Straight-line equation. They have a simple variable expressions with no exponents on them. If you see an equation with only x and y — as opposed to, say x2 or sqrt(y) — then you're dealing with a straight-line equation.

Answer 4

Thank you! :0)

Answer 5

Your welcome:)