Question

Which of the following is true about the linear function f(x) = 5?

Function fis parallel to the x-axis and has a slope equal to zero.

Function fis parallel to the x-axis and has an undefined slope.

Function fis perpendicular to the x-axis and has a slope equal to zero.

Function fis perpendicular to the x-axis and has an undefined slane

Answer 1

Function f is parallel to the x-axis and has a slope equal to zero

Explanation:

The equation of a line

The slope-intercept form of the equation of a line is given by:

y = mx + b

Where:

m = slope of the line

b = y-intercept, or the point where the graph intercepts the y-axis

We have the equation of a line:

y = 5

It corresponds to a line with m=0 and b=5. This line has a slope of 0 and a y-intercept of 5.

A zero-slope line is a horizontal line, i.e., parallel to the x-axis.

The correct statement is (first choice):

Function f is parallel to the x-axis and has a slope equal to zero