Question

1-Describe the error in the way the calculation of the slope of the two points is set up and/or solved. Please be specific. Do not just state what the slope should be. Describe the error.

2- Use the same two points from the error analysis question above and show how to calculate the slope correctly. Then, use the correct slope and one of the points to write the equation in point-slope form of the line. Show all work!

Answer 1

Please check explanations for answer

Explanation:

Let’s have two points (5,10) and (15,20)

1. Let’s find the slope of these two points

Mathematically, the slope can be calculated using the formula;

m = (y2-y1)/(x1-x2)

So m = (20-10)/(5-15) = 10/-10 = -1

The error here is the formula used in calculating the slope

The formula should be;

m = (y2-y1)/(x2-x1) and not x1-x2

2. To calculate the slope correctly, we have;

m = (y2-y1)/(x2-x1)

So the slope will be;

m = (20-10)/(15-5) = 10/10 = 1

In the point slope form, the equation can be represented as;

y-y1 = m(x-x1)

Let’s use the point (5,10)

y- 10 = 1(x-5)

The above is the point slope form

using one of the points and the correct slope of the line