Explain the Slope in Math

Introduction to explain the slope in math:

Explain the slope in math is notion of slope applies directly to grades in geography through the trigonometry; the grade m is related to its angle of slant ? by tan ?. The explain the slope in math is  a stripe in the plane having the x and y axes is usually represented by the letter m, and is defined as the vary in the y coordinate divided by the equivalent change in the x coordinate, between two separate points on the line.

Y = mx +b

Explain the slope in math a line describes its slant. A upper slope value denotes a steeper slant. The slope is defined as the ratio of the "increase" divided by the "sprint" between two points on a line, or in other words, the ratio of the altitude modify to the horizontal distance between any two points on the line. Specified two points (x1, y1) and (x2,y2) on a line, the slope m of the line is

=` (y2-y1)/(x2-x1)`


Explain the slope in math:


Problem for explain the slope in math:

Problem 1: Find the slope of equation the points are (0,1),(2,2)

Solution:

Formula for slope of equation, m= (y2-y1)/(x2-x1)

=(2-1)/(2-0)

m = ½

So the result of m=0.5

Problem 2: Find the slope of equation the points are (1,1),(3,2)

Solution:

Formula for slope of equation, m= (y2-y1)/(x2-x1)

=(2-1)/(3-1)

m = ½

So the result of m=0.5

Problem 3: To find slope and intercept: 2y = 3x-4

Solution:

General equation of slope and intercept, y = mx +b

2y = 3x-4

Rewrite the equation, form of slope and intercept

Y = ½(3x-4)

Y = 1.5x – 2

From the equation slope m = 1.5

Intercept b  = -2

The final solution is m = 1.5, b= -2


Practice problem for explain the slope in math:


Problem 4: Find slope and intercept: 3y = 6x-12

Solution:

General equation of slope and intercept, y = mx +b

3y = 6x-12

Rewrite the equation, form of slope and intercept

Y = 1/3(6x-12)

Y = 2x – 6

From the equation slope m = 2

Intercept b  = 4

The final solution is m = 2, b= 4

Problem 5:

Find the perpendicular line of given line equation:

Y= 2x+ 3

Solution:

Where slope m1= 2

The two perpendicular lines , in general

M1.M2 = -1

So that, M2 = -1/2

Therefore the perpendicular line of given line equation is -1/2

So the final result is -1/2