Question

Which of the following has a graph that is a straight line? (4 points)

Answer 1

The equation 2 has a graph which is a straight line.

Why?

We can know which of the given equations has a graph which is a straight line just checking the exponents of the variables.

We must remember that every variable that has an exponent equal or higher than 2 (quadratic) will not have a straight line as a graphic.

So, checking the exponents from the given equations, we have:

$Equation_{1} =x^{3}=NotLinear\\Equation_{2}=x=Linear\\Equation_{3}=y^{2}=Quadratic\\Equation_{4}=x^{2}=Quadratic$

Hence, we can see that the only equation that has a linear term (straight line graph), is the second equation.

Have a nice day!

Note: I have attached a image for better understanding.