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

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)

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.

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