Physic Tutorials

# How To Find Slope Of A Line Or Graph

In physics or mathematics, the slope of a graph is the same as the gradient of the graph. So, in this piece, I will explain how to find a slope. This is one of the areas that is simple to find after you have finished plotting your graph.

In order to find a slope, you might have properly plot your graph, this way, you will get the accurate answer for your gradient. A few things you need to consider when plotting your graph are the vertical axis is the Y-axis while the horizontal axis is the x-axis, the graph must occupy at least 1/3 of the page, using multiples or sub-multiples of prime numbers such as 3,7,9,13 etc are not good enough, and the points should be plotted correctly to the nearest half square on both axes

## How to Find Slope

Two things must be considered if you want to find your slope

• You must obtain a suitable line of best fit mark, at least three points must be correctly plotted
• Large right-angled triangle implies that it occupies at least 1/3 of graph page.

The slope of a line is defined as the change in the values on the y-axis divided by the change in the values of the x-axis. Mathematically, it can be represented by

Slope = change in y / change in x = dy/dx

dy/dx denotes the change in y with respect to x = (y2 – y1)/(x2 – x1)

## How To Find Slope Of An Equation

The equation of a line is written as y = mx + c, where m which is the coefficient of x is the gradient or slope. Therefore, if you have an equation of a line as y = 3x + 4, the slope is 3. All you just need to look out for in the equation is the coefficient of x.

### Bolarinwa Olajire

A tutor with a demonstrated history of working in the education industry. Skilled in analytical skills. Strong education professional with a M. SC focused in condensed matter. You can follow me on Twitter by clicking on the icon below to ask questions.