Find the slope of the line that passes through (1, 1) and (10, 2).

Question

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through the points (1, 1) and (10, 2), we can use the formula for the slope $m$, which is given by:

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

Here, we can assign:

• $(x_1,y_1)=(1,1)$
• $(x_2,y_2)=(10,2)$

Now, we can substitute the values into the slope formula:

$$m=\frac{2-1}{10-1}$$

Calculating the difference in the y-coordinates:

$$2-1=1$$

Calculating the difference in the x-coordinates:

$$10-1=9$$

Now substituting these values back into the slope formula:

$$m=\frac{1}{9}$$

Thus, the slope of the line that passes through the points (1, 1) and (10, 2) is:

$$\boxed{{\displaystyle \frac{1}{9}}}$$