Question

Eighth grade) Y.2 Find the slope from two points ZAC Find the slope of the line that passes through (9,9) and (4,7). Simplify your answer and write it as a proper fraction, improper fraction, or in Submit Work it out

Answer 1

To solve this question, we need to:

1. Use the slope formula for a line.

2. Identify each coordinate, and label them appropriately.

The formula for the slope of a line is:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points:

(9, 9) and (4, 7)

Then, we have:

x1 = 4

y1 = 7

x2 = 9

y2 = 9

Then, applying the previous formula, we have:

`m=(9-7)/(9-4)=(2)/(5)\Rightarrow m=(2)/(5)`

Then, the slope of the line is m = 2/5.

If we see the two coordinates in a graph, the slope is positive. That is why we need to take the coordinates (9, 9) as x2, and y2. We can see this in the following graph:

That is, we mean point x1 is really (x1, y1), and x2 is (x2, y2).