Answer: C
Explanation:
*somethingX is always the slope
*the number with no letter on the side is always the y intercept
* You can rearrange the linear equation and it stays the same. for example, y=2x+3 can become 3+2x=y, (its just that y=mx+b is more proper) but it's still the same.
* x² can NEVER be found in a linear equation.
When we talk about linear equations, we mean equations that can be written in slope intercept form, or y=mx+b.
M is the slope of the line
B is the y intercept, or the point at which tthe line crosses the y axis. For example, if the y intercept of a line were, say, 5, that means the line first crossed the y axis at the point (0,5).
That being said, I'll explain why A, B, and D are all linear equations and why C is not.
A. y=0.5x-0.2 This is in slope intercept form. It doesn't matter if the numbers are decimals, and even though you see -0.2, it still counts because technically, you can also write it as 0.5x+-0.2. + or - doesn't matter.
B. 4x+3= y. This is in slope intercept form. It looks confusing but you can just put y on the left so you have y=4x+3, which matches the slope intercept formula. Note that switching the y from left to right does not change the equation at all.
C. Is definitely wrong because you have x² . In slope intercept form, it has to be somethingx. x² and x are 2 different things, and if you see x² in any equation, it is not linear, but rather a quadratic equation. *Quadratic equations are equations written as x² +b+c=0*
D. Is in slope intercept form. It doesn't matter if you have fractions, as long as it can be written as y=mx+b (slope x+ y intercept).
I hope this helps!! :D