Sunday, 26 June 2011
How to find the slope of a line from the given equation (form: y = mx + c)
How to determine the slope of a line from the 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.
The basic formula to find the slope of a line is
Slope = change in vertical distance/change in horizontal distance = rise/run
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 + b where m is the slope of a line and n is its y-intercept.
How to do this?
First rearrange the equation of a given line into standard form, keep the y term in the left hand side and put the term with x to the right hand side of equation with the change in sign and note that the coefficient of y is a unit value i.e. 1.
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. Thus the slope of a line is -5/2.
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