Question

Which statement about the equation y = 5x – 8 is correct?

A. The equation represents a linear function because the equation is in the form y = mx + b.
B. The equation represents a linear function because the equation has two variables, x and y.
C. The equation does not represent a function because some x-values have more than one y-value.
D. The equation does not represent a linear function because the equation is in the form y = mx – b, not y = mx + b.

Answer 1

Option A

Explanation:

It is a straight line which is in the form y = mx + b

Answer 2

9514 1404 393

Answer:

A. The equation represents a linear function because the equation is in the form y = mx + b

Explanation:

A linear function does not have to be in the form y = mx + b, but if a function is in that form, it is a linear function.

choice A is appropriate

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A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.