Question

The following chart shows the number of months a savings account has been open and the balance of the
account. Find the slope of the line through these points.

Answer 1

Answer:

the slope is change in the independent variable divided by the change in the dependent variable. in this case 800-400/5-1 = 100

Step-by-step explanation:

change in independent variable = 800 - 400

change in dependent variable = 5 - 1 = 4

divide the change = 400/4 = 100.

Note, this can work with any values you use in the table and your answer remains constant

Answer 2

The slope of the line through these points is 100

What is the slope of the line passing through two points?

The slope of the line passing through points $(x_1,y_1),(x_2,y_2)$ is,

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

For given example,

The chart shows the number of months a savings account has been open and the balance of the account.

We need to find the slope of the line through these points.

Let $(x_1,y_1)=(5,800)$

and $(x_2,y_2)=(7,1000)$

Using the slope formula,

$\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow m=\frac{1000-800}{7-5}\\\\ \Rightarrow m=\frac{200}{2}\\\\ \Rightarrow \bold{m=100}$

Therefore, the slope of the line through these points is 100.

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