Hello friends, Previously we have discussed about second derivative calculator and In the session today we will discuss about the slope intercept form of an equation.
Before solving some problems based on slope intercept form of a equation of a line we will define what the slope intercept form actually is. The slope intercept form of a equation is a form where the the given equation is solved for y in term of x. In short we can say that the slope intercept form of an equation can be written as y = mx+c
Where m is the slope of the line with the x axis and c is the intercept of the line on y axis.
This equation can also be written as y = m (x-d) where m also represents the slope of the line with x axis and d represents the intercept of the line on x axis.
The method of slope intercept form of a equation can be derived by the two points form of the line.
Since two points form of a line passes through the points (x1,y1), (x2,y2) can be written as
y-y1 =( y2-y1)/(x2-x1) *(x-x1)
As we know the slope of line passes through two point can be written as
m = ( y2-y1)/(x2-x1)
By putting the value of m in the above two points form of a line
we get y-y1 =m *(x-x1)
By further solving we get y = mx +c where c is the intercept on y axis
Let us try to understand the slope intercept with the help of some examples
y = -7x +5
This equation is in slope intercept form. The y intercept is (0,5) and the slope is -7.
Let us take another example
Rewrite the equation 3x-5y-10 = 0 in slope intercept form
Solution: the equation can be written as 5y = 3x-10
Or y = (3/5)*x- 2
So the equation has the slope 3/5 and intercept on y axis is (0,-2). This is a brief introduction about slope intercept form equation. In the next article we will discuss about point slope form.
In the next session we will discuss about Math Blog on Finding the Slope of a Line and You can visit our website for getting information about free online math tutor and 7th class maths question paper 2011.