Question

What is the slope of the line that passes through the points (6,7) and (16,22)? Write your answer in simplest form.

Answer 1

Step 1

Write the two points

(6,7) and (16,22)

Step 2:

Write the slope formula

`\begin{gathered} Slope\text{ = }\frac{y_2-\text{ y}_1}{x_2-\text{ x}_1} \\ x_1\text{ = 6} \\ y_{1\text{ = 7}} \\ x_2\text{ = 16} \\ \text{y}_2\text{ = 22} \end{gathered}`

Step 3

Substitute all the values in the formula to find the slope.

`\begin{gathered} Slope\text{ = }\frac{22\text{ - 7}}{16\text{ - 6}} \\ Slope\text{ = }(15)/(10) \\ Slope\text{ = }(3)/(2) \end{gathered}`

Final answer

`\text{Slope = }(3)/(2)`