Question

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 .

Answer 1

Answer:1) gets steeper

2) gets less steep

3) Negative.

Explanation:

Answer 2

Answer: 1) gets steeper

2) gets less steep

3) Negative.

Explanation:

Since, the slope intercept form of a line is,

y = mx + c

Where 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.