# Find the coordinates of two points on the line with the given equation y = -3x + 11, and hence, find its slope?

A straight line is a figure formed when two points are connected having the shortest distance between them, and both the ends extended to infinity. It is one of the most important concepts in geometry.

## Answer: The slope of the line y = -3x + 11 is -3, which is found out from the points (0, 11) and (1, 8).

Let's understand the solution in detail.

**Explanation:**

To find two points on the line y = -3x + 11:

First, substitute x = 0, and find its corresponding y-coordinates.

Hence, the point (0, 11) lies on the line.

Then, substitute x = 1, and find its corresponding y-coordinates.

Hence, the point (1, 8) lies on the line.

Now, using the slope formula (y_{2} - y_{1}) / (x_{2} - x_{1}), we find the slope using the two points.

Hence, slope m = (11 - 8) / (0 - 1) = -3, which can be verified from the given equation.