Question

Compare the different representations of linear functions.

Which of the following represents the slope of a linear function?

A) 2
B) 6
C) -2
D) 8
Which of the following represents the y-intercept of a linear function?

A) 2
B) -2
C) 6
D) 8
What is the slope of a line givenby the equation y = -2x + 6?

A) -2
B) 2
C) 6
D) 8
What is the y-intercept of a line given by the equation y = -2x + 6?

A) 2
B) -2
C) 6
D) 8

Answer 1

The slope of a linear function is the coefficient of x, and the y-intercept is the constant term in the equation. The slope of y = -2x + 6 is -2, and the y-intercept is 6.

Step-by-step explanation:

The slope of a linear function is represented by the coefficient of x in the equation. In the given options, the correct representation of slope is A) 2. This means that for every 1 unit increase in x, the corresponding y-value will increase by 2 units.

The y-intercept of a linear function is represented by the constant term in the equation. In the given options, the correct representation of the y-intercept is C) 6. This represents the point where the line intersects the y-axis (when x=0).

To find the slope of the line given by the equation y = -2x + 6, we can compare it with the general form y = mx + b, where m is the slope and b is the y-intercept. In this equation, the slope is -2.

The y-intercept of the line given by the equation y = -2x + 6 is 6.