Question

Match the SLOPE of the line that goes through each pair of points (use the slope formula (y2-yl) / (x2-x1)

Answer 1

5/2

Step-by-step explanation

We want to find the correct slope to match with the pair of points given.

The formula for slope is:

`\text{Slope = }(y_2-y_1)/(x_2-x_1)`

From the question:

(x1, y1) = (4, -7)

(x2, y2) = (6, -2)

Therefore, the slope is:

`\begin{gathered} \text{Slope = }\frac{-2\text{ - (-7)}}{6\text{ - 4}}\text{ = }\frac{-2\text{ + 7}}{6\text{ - 4}} \\ \text{Slope = }(5)/(2) \end{gathered}`

That is the slope of the first pair of points.

Using this method, the others can also be found.