Question

(04.04) Which of the following has a graph that is a straight line? (4 points) Equation 1: y = 4x3 + 6 Equation 2: y = 5x − 4.5 Equation 3: y2 = x − 1 Equation 4: y = 2x2 + 6

Answer 1

Answer: Equation 2: y = 5x − 4.5 has a graph that is a straight line.

Explanation:

Given equations :

Equation 1:
`y = 4x^3 + 6`

Equation 2: y = 5x − 4.5

Equation 3:
`y^2 = x-1`

Equation 4:
`y = 2x^2 + 6`.

First equation has degree 3 because power of x is 3.

Second equation has degree 1 because power of x is 1.

Third equation as power of y as 2.

And fourth equation as power of x as 2.

Note: An equation with power of x and y or any variable only 1 to be graph be a straight line.

Only second equation has power of x and y is 1.

Therefore, Equation 2: y = 5x − 4.5 has a graph that is a straight line.

Answer 2

The equation of a straight line is in the form y = mx + c.
Among the 4 equations, it is only equation 2 that is in this form.

The equation 2: y=5x-4.5 is the correct answer.