Question

instructions
solve the following problem and select your answer from the choices given.

question

in the xy–plane, the slope of the line ( y = mx - 4 ) is less than the slope of the line ( y = x - 4 ). which of the following must be true about ( m )?

( \bigcirc ) ( m = -1 )

( \bigcirc ) ( m = 1 )

( \bigcirc ) ( m < 1 )

( \bigcirc ) ( m > 1 )

Explanation:

Step1: Identify slopes from equations

The line \(y = mx - 4\) has slope \(m\); \(y = x - 4\) has slope \(1\).

Step2: Set up inequality for slopes

Since \(m < 1\) (given slope of first line < slope of second line), the condition is \(m < 1\).

Answer:

C. \(m < 1\)