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Slope is defined as how the line is steep and inclined.Online slope calculator is used to calculate the slope in two ways. If the line equation y=mx+b given, it is called slope-intercept form of an equation. Here ‘m’ is the slope the given equation. Another one is point slope intercept form, When two points is given (x1, y1) and (x2, y2) then the point slope intercept form is
Slope m = rise /run (or)
Slope m = (y2-y1)/(x2-x1)
Example 1: Find the slope of the given equation 2x + y = 4.
Solution: Write the given equation in y =mx +b form.
Given that 2x+ y =4
Subtract 2x on each side
2x + y -2x =4 -2x
y = 4 -2x
Rewrite the equation as y = -2x +4
Given equation is in y = mx +b form
Finally, slope m = -2 is answer.
Example 2: Find the slope of given points (4, 3) and (5, 8).
Solution: If two points (x1, y1) and (x2, y2) is given, then the point slope intercept form will be
as shown below.
Slope m = (y2-y1)/(x2-x1)
Substitute the given points in the above formula.
Here x1= 4, y1=3, x2=5 and y2 =8.
Slope m = (8-3) / (5-4)
= 5/1
= 5.
Finally, Slope m =5 is answer.
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