Finding the Slope of a Line Finding the Slope of a Line Hi Children, today I am going to tell you basic methods of Finding the Slope of a Line, which is defined as the ratio of changing in y when changing in x. The slope of the line measures the steepness of the given line. We are familiar with two word “rise over run�. In the slope of a line we have to follow some of the steps for finding the slope of the line. Step1: - Simply we have to put, the difference of both the x and y coordinates. And we have to place both the coordinates in the ratio. Step 2: - after that we have to put two points on a line. Because you are using two sets of order pair both the coordinates having values x and y, and you have to used a subscript to distinguish between the two values x and y. Step 3: - when a line has a negative slope then it goes down from left to right. Step 4: - when a line has a positive slope then it goes up from left to right. Step 5: - when a line has is vertical then the slope is undefined. The slope formula for given two points.
Math.Tutorvista.com
Know More About :- What is a Complementary Angle
Page No. :- 1/4
The two points are (x1, y1) and (x2, y2) Then the slope of the line is denoted by m. m = rise = change in y = y2 - y1 run where
change in x
x2 - x1
( x1 ≠ x2 )
example1:- find the slope of the straight line which passes through ( -6, 3) and ( 5, -8). Solution: - slope of the straight line which passes through ( -6, 3) and ( 5, -8). Where the point as x1 = -6, y1 = 3 and x2 = 5, y2 = -8 To find the slope m of the straight line which passes through ( -6, 3) and ( 5, -8). , use the slope formula. i.e. Slope = m = y2 - y1- ; x2 - x1on putting the value of x1, y1 and x2, y2 in the given slope formula. m = -8 – 3 ; 5 – (-6) m = -11; 5+6
Learn More :- Third Law of Thermodynamics
Math.Tutorvista.com
Page No. :- 2/4
m = -11 = -1 11 after solving the equation we get the value of slope m = -1; Example2: - determine if the lines are parallel, perpendicular or neither 10x + 2y = 8 and 4x +4y = 9; Solution:- when writing the first equation in the slope or we can say it as intercept form we get. 10x + 2y = 8 On further solving this equation we get Firstly subtract 10x on both side of the equation On subtraction 10x we get 10x + 2y – 10x = 8 -10x; After subtracting the equation we get the new equation. i.e. 2y = -10x + 8; Now second equation in intercept form- 4x +4y = 9 Firstly subtracting 4x on both side of the equation we get 4x +4y – 4x = 9 – 4x; On further solving we get 4y = -4x + 9 In this case we have seen that if the lines to be parallel then the slope would have to be equal and in case of perpendicular it would have to be negative reciprocal of each other. If we find the slope of both the equation then we get the negative slope. Since if the two slopes are not equal and are not negative reciprocals of each other then the answer will be neither.
Math.Tutorvista.com
Page No. :- 4/4
Thank You For Watching
Presentation