EQUATION OF LINE

The general equation of a line is given by: Ax +By = C

where A, B and C are constants and A and B cannot be both zero. Any straight line in a rectangular system has an equation of this form

The slope equation of a line m can also be written as follows: Y = mx + b where m is the slope of the line and b is the y intercept of the graph of the line.

The above form is called the slope intercept form of a line.
Given below is one solved example on equation of straight line.
1) Find equation of a line that has slope m = 4 and passes through the point (–1, –6). O

Here the value of slope is given; in this case, m = 4. Also, giving a point on the line, an x-value and a y-value for this line is being provided which is x = –1 and y = –6.

In the slope-intercept form of a straight line, We have y, m, x, and b. So the only thing that we don't have so far is a value for is b (which gives me the y-intercept). Then all we need to do is plug in what is being provided for the slope and the x and y from this particular point, and then solve for b:

y = mx + b (–6) = (4)(–1) + b –6 = –4 + b –2 = b

Then the line equation must be "y = 4x – 2".

There are different types of equations like Linear Equation, Quadratic equation etc.. I will be back on detail write on these shortly....