what is the rate of change of the linear function from the point ​(0​18,​) to the point ​(18​6,​).

Question

what is the rate of change of the linear function from the point ​(0​18,​) to the point ​(18​6,​).

Answer 1

Information given in math problem:

The rate of change of the linear function between two given points.

Point 1: (x1,y1) = (0,18)

Point 2: (x2,y2) = (18,6)

Step 1: Use the slope formula to find the rate of change

The rate of change of a linear function is its slope.

The slope formula is m = y2-y1 divided by x2- x1

Step 2: Calculate the rate of change using the slope formula.

Substitute the given points into the slope formula:

1. m = 6-18 divided by 18-0 = -12 divided by 18

Step 3: Simplify the expression.

m = -12/18

Step 4: Reduce the fraction

m = -12/18 divided by 6

m = -2/3

The rate of change = -2/3

Solution:

The rate of change of the linear function is -2/3

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.