Question

Please explain your answer!

Answer 1

Y = x^2 + 6 doesn’t not belong in the group.

When graphing an x squared it will appear as an parabola (an U shaped graph).

As you can see the rest of the linear equation uses y=mx + b, except for the 3rd one.

Answer 2

Answer: C

Step-by-step 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