The slope and intercept of a line from a given equation

How to calculate the slope and intercept of a line from a given equation (Form: y = mx + c) 

This articles explains the detailed concept of a line which shows how to determine the slope from the standard equation of a line which is in the form of y = mx + c.

Since, we know that the slope is a measure of the steepnes. Also the slope is a slant/inclination of a line. When you calculate the slope of a line, rearrange the equation of a line in a standard form i.e. y = mx + c where m is the slope of a line and y is its y-intercept.

For example, Find the slope of the graph 5x + 2y = 10. First keep the y term is left and the term with x in right side. Then the equation comes out 2y = -5x + 10. Now in the standard form of the equation y = mx + c, the coefficient of y is 1, so we divide the whole equation by 2 and we get y = -5/2 x + 5.

When compare, y = mx + c we have m = -5/2 and c = 5. Thus the slope of a line is -5/2 and intercept is 5.

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