# 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.

## A step-by-step guide tofinding 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.

1. $$\color{blue}{0}$$
2. $$\color{blue}{-3}$$

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