Question

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

Group of answer choices

Equation 1: y = 4x3 + 6

Equation 2: y = 5x − 4.5

Equation 3: y2 = x − 1

Equation 4: y = 2x2 + 6

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.