Learn Online Slope

Introduction to learn online slope:

Learning online slope of line is a number that tells about the slant characteristics of a given equation. If the line is perfectly level the slope is at origin that is 0. If, the line gets up, we say it is sloping up or positive slope. Learning slope is based on the ratio of the "rise" divided by the "run" between two points on a line, and the ratio of the altitude change to the horizontal distance between any two points on the line.

If y is a linear function of x, after that the coefficient term of x is the slope of the line shaped by graphing the function. Therefore, if the equation of the line is known in the form

There slope,  y = mx + b,where m = slope.

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Learn to solve slope examples online :


The formula for slope of the straight line going through the points (x1, y1) and (x2, y2) is given by:

M = `(y_(2) - y_(1))/(x_(2) - x_(1))`

Ex 1:Find the equation of the straight line that has slope m = 3 and passes through the point (–1, –6).

Solution: The slope intercept form of an straight line is y,m,x and b is y-intercept. Slope and the value x and y from this particular point, solve for b.

y = mx + b

(–6) = (3)(–1) + b

–6 = –3 + b

–3 = b

Then the line equation must be "y = 3x – 3"

Ex : 2 Find the equation of line that passes through the points (–2, 4) and (1, 2).

Solution: Given two points, I can first find the slope:

slope m = `(-2)/(3)`
Then the slope equation is

y – y1 = m(x – x1)

y – (4) = ( `(-2)/(3)`  )(x – (–2))

y – 4 = (  `(-2)/(3)`  )(x + 2)

y – 4 = (  `(-2)/(3)`  ) x  `(-4)/(3)`

y = (  `(-2)/(3)`  ) x  `(-4)/(3)`  + 4

y = (  `(-2)/(3)`  ) x   `(-4)/(3)`  +  `(12)/(3)`

y = ( `(-2)/(3)` ) x +  `(8)/(3)`

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Practice problems to learn slope - online


1.  Find the equation of the straight line which have slope m = 4 and passes through the point (–2, –6).

Ans: y = 4x + 2

2. Find the equation of the line that has slope m =  `(-1)/(2)`  and passes through the point (–1, 3).

Ans: y =  `(-1)/(2)` x +   `(5)/(2)`

3. Find the equation of line that passes through the points (–2, 7) and (1, -3).

Ans: y =  `(-10)/(3)`  x +  `(1)/(3)`
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