Question

Function A and Function B are linear functions. Compare the two functions and choose all that are correct.

1. The slope of Function A is greater than the slope of Function B.

2 .The slope of Function A is less than the slope of Function B.

3. The y-intercept of Function A is greater than the y-intercept of Function B.

4 .The y-intercept of Function A is less than the y-intercept of Function B.

Answer 1

2 .The slope of Function A is less than the slope of Function B

Explanation:

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

y -22 = 2(x -9)

y = 2x -18 +22

y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.