Hello friends, Previously we have discussed about fractional notation calculator and today we are going to learn about the Finding the Slope of a Line. The slope of a line is defined in terms of ratio of changing in the y coordinate with respect to change in x. In simple terms a slope or gradient of a line is defined by its steepness or also called as inclination of a line. We can define it in terms of variable as if slope of a line describe as m and it have the line coordinate (x1 , y1) to ( x2 , y2) so with these coordinates Formula for Slope of a Line is:
m = y2 – y1 / x2 – x1 but it should be noted that ( x1 is not equal to x2 )
The slope of a line means how much angle it creates with respect to its horizontal base. It can be described as: m = tan ( Θ ) where Θ is a angle of inclination.(Know more about Slope in broad manner, here,)
We can understand it by an example that if there is a line segment that has the coordinates ( 1 , -4 ) and ( -4 , 2 ) then the slope of this particular line is calculated as follows :-
We can label these coordinates as x1 = 1, y1 = – 4 , x3 = – 4 and y2 = 2
Then slope of the line segment m is calculated by using the formula defined above
slope = m = y2 – y1 / x2 – x1
m = 2 + 4 / – 4 – 1 = 6 / -5 = – 6 / 5
So the slope of the line m = – 6 / 5 which passes to the coordinates (1 , -4 ) and ( -4 , 2 ).
We can take another example in which we have the incline angle 45′ than we calculate the slope by using the formula slope = m = tan ( Θ ) = tan ( 45 ‘) = 1.