# How to Find Slope From a Graph?

The slope of a line is defined as the change in the \(y\) coordinate relative to the change in the \(x\) coordinate of that line. In the following guide, you will learn about ways of calculating slope from a graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of a line in the coordinate plane. In general, to find the slope of a line, we must have values of both different coordinates on the line.

**Related Topics**

**A step-by-step guide to** **finding slope from a graph**

The process of finding the slope from a graph uses the slope formula \(\frac{rise}{run}\). When the graph of a line is given and we are asked to find its equation, the first thing that we need to do is to find its slope.

**Finding slope from a graph**

The slope of a line is the ratio of increase to execution. Hence, here are the steps to find the slope of the chart:

**Step 1:**Select any two random points on the graph of the line (preferably with integer coordinates).**Step 2:**Label them as \(A\) and \(B\) (in any order).**Step 3:**Calculate “rise” from \(A\) to \(B\). As we go from \(A\) to \(B\) vertically, if we have to go “up”, then the rise is positive; “down”, then the rise is negative.**Step 4:**Now, use the formula: \(\color{blue}{slope =\frac{rise}{run}}\).

**Calculating slope from a graph using the** **slope formula**

The slope formula is used to find the slope of a line that joins two points \((x_1, y_1)\) and \((x_2, y_2)\). sing this formula, the slope of the line is, \(\color{blue}{m = \frac{(y_2 – y_1)}{ (x_2 – x_1)}}\). We can use the same formula to find the slope of a line from its graph also. For this:

**Step 1:**Select both points on the line from its graph.**Step 2:**Represent them as \((x_1, y_1)\) and \((x_2, y_2)\) in any order.**Step 3:**Apply the formula \(m = \frac{(y_2 – y_1)}{ (x_2 – x_1)}\) to find the slope.

**Exercises for Finding Slope From a Graph**

**Find the slope of the line from the following graphs using the \(\frac{rise}{run}\) formula.**

- \(\color{blue}{0}\)
- \(\color{blue}{-3}\)

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