Slope formula and its applications
Slope of a line is a concept which tells us how a straight line angle away from the horizontal or, we can say that it describes the steepness, incline or grade of the straight line. We can also use gradient in place of slope. Higher slope value indicates a steeper incline.
The Slope of a line is a number which calculates or defines it’s steepness denoted by the letter m.
The slope through the points (x1, y1) and (x2, y2) is given as slope formula.
( m = y2-y1/x2-x1 ) where x1 is not equal to x2.
Math Solver needs to understand the general form of slope which is called as slope intercept form.
In general slope intercept form denotes the formula : y = mx + b.
Where m = slope of the line
b = y intercept.
Slope of the line is a number that describes how steep it is. The slope of a line in the plane is defined as the change in the y coordinates divided by change in x coordinates, between two distinct point on a line .
Let’s take an example to understand it better :
Find the slope of the line segment joining the points ( 1, – 4 ) and ( – 4, 2 ).
solution: here x1 = 1, y1 = -4 and x2 = -4, y2 = 2.
to find slope m we needs to use slope formula.
Slope m = (y2-y1/x2-x1) = 2+4/ -4-1 = 6/-5 .
For solving inequalities we need to learn the symbols of inequalities like the symbol means greater than and the symbol < underneath having a bar means less than or equal to etc. Now the next stage to solve a problem is to write the inequalities in a slope intercept form or in the form of y = mx + b.
secondly: temporarily exchange the inequality symbol for the equal symbol. For example
y <= -x + 10 becomes y = -x + 10 after exchanging the symbol.
Thirdly : Use different values for x to find points that will be graphed in the form (x,y).
like when x=1, y = 9.
At last we need to draw lines on the graph using these above values. Point slope refers to a method of graphing a linear equation on an x-y axis.
Slope Formula is also used for calculating the slope of a road or railway. It is used to calculate how steep a road or railroad is. There are two ways to find the steepness of roads. One is by angle in degrees, and the other is by the slope in percentage. Math solver use this formula to calculate the slope percentage : slope = 100tan(angle).
TutorVista is the #1 portal for learning solving inequalities online. The tutors working with us are great in teaching and let you know about math solver.
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