Question

Find the slope of the line from the graph
Someone please help and explain!!

Answer 1

slope = -5/2

Explanation:

The slope is also commonly referred to as the rate of change. The slope is a single number that allows us to determine the direction in which a line is slanting from left to right, as well as how much slant there is to the line.

To find out what the slope is, we can select two points from the graph and use the following formula:

`slope (m) = (y2 - y1)/(x2 - x1)`

The two points that I've selected are: (1, 5) and (3, 0).

Let x1 = 1

x2 = 3

y1 = 5

and y2 = 0.

Plug in those values into the slope equation:

`slope (m) = (y2 - y1)/(x2 - x1) = (0 - 5)/(3 - 1) = (-5)/(2) = ((rise))/((run))`

Therefore, the slope of the graph is -5/2. It is a negative slope because it is sloping down from left to right.

The slope of -5/2 represents the downward vertical change in y (rise) over the horizontal change in x (run).