Question

How do i find the slope of a line ?

Answer 1

You find the slope of the line by getting two points on the line and subtracting them from each other. (finding the difference and simplifying it to the easiest term possible) but it is not necessary to simplify.

For example:

Let's say you have the coordinates of two points: (x₁, y₁) and (x₂, y₂).

The slope (m) of the line can be calculated using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the coordinates of the two points into the formula and perform the calculations to find the slope. The resulting value of m represents the slope of the line.

Answer 2

see below

Explanation:

If you are given a line already on the graph, then all you have to do is count.

The formula for slope is:

`(rise)/(run)` where rise is how many units you go up and down, and the run is how many units you go left and right.

Next, we have to pick 2 points on the line that the x and y coordinates are whole numbers. For example, let's say the 2 points on a line are (-3,4) and (-2,5).

We first have to find the rise of the line, so going from -3 to -2 is right 1, so the rise is 1. The run is from 4 to 5, so up 1. This makes the rise/run = 1/1, or just 1 which makes the slope 1.

If we are just given 2 points, for example, (-5,2) and (4,8), we can use the formula:

y2-y1/x2-x1

Substitute:

8-2/4+5

6/9

2/3

This makes the slope of this line 2/3.

Hope this clarifies things! :) Let me know if you have any questions.