Linear Function: Plotting Points (36,-60) and (6,30) on a Graph

Question

The graph of the linear function passes through the points B(36,60),A(6,30) B(36,-60),A(6,30)

Step-by-Step Solution

To solve this problem, we will compute the slope of the line that passes through the points A(6,30) A(6, 30) and B(36,60) B(36, -60) .

Step 1: Apply the slope formula
The slope m m between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is computed as follows:

m=y2y1x2x1 m = \frac{y_2 - y_1}{x_2 - x_1}

Substituting the values for points A(6,30) A(6, 30) and B(36,60) B(36, -60) :
m=6030366=9030=3 m = \frac{-60 - 30}{36 - 6} = \frac{-90}{30} = -3

Step 2: Analyze the slope
Since the slope m=3 m = -3 is negative, it indicates that the linear function is decreasing.

Therefore, the solution to the problem is a decreasing function.

Answer

Decreasing function