Q:

Use the slider to change the value of m. As the value of m changes from 1 to 3, the graph . As the value of m changes from –6 to –1, the graph . If the value of m is negative, the slope of the line is .

Accepted Solution

A:
Answer: 1) gets steeper2) gets less steep3) Negative.Step-by-step explanation:Since, the slope intercept form of a line is,y = mx + cWhere m represents the slope of the line,If m = positive , then the line has positive slope,While If m = negative then the line has negative slope.Now, The line having the maximum absolute value of m is called stepper line, Here, the equation of line is,y = mx⇒ m is the slope of the line,1) Since, |1| < |3|⇒ When m changes from 1 to 3 then the line gets steeper.2) Since, |-6| > |-1|⇒ When m changes from -6 to -1 then the line gets less steep.3) If m = Negative Then the slope of the line is negative.