Draw the graphs of y = -1/3 x, y = -x, y = -3x on the same axes. Does this help Class 9

Draw the graphs of y = -1/3 x, y = -x, y = -3x on the same axes. Does this help Class 9

Question 1.

Draw the graphs of y = $\frac{-1}{3}$x, y = -x, y = -3x on the same axes. Does this help you conclude about the linear equation y = - ax, a > 0 as a varies? What will happen when a > 1 and when a < 1? Class 9

Answer:

When a > 1, line y = - ax is steeper than the line y = -x

When a < 1, line y = -ax is less steep than the line y = -x

Question 2.

Differentiate between the graphs of the equations y = 3x + 1, and y = -3x + 1. Class 9

Answer:

For y = 3x + 1, slope = 3.

The graph represents linear growth

For y = -3x + 1, slope = -3.

The graph represents linear decay.