Slope Intercept Form of Equation of Line

We have basically two types of the slope intercept form of equation of line -
1. Slope Intercept Form of Equation for X- Intercept
2. Slope Intercept Form of Equation for Y - Intercept
In the video lesson we discuss the slope intercept form of equation of line for having y intercept.
The general form of slope intercept form of linear equation is :
y = mx + c
Here m is representing the slope of the line and C is representing the y intercept made by the line in either positive or negative y axis. And the x, y are the common or general point of the line .
10. Slope Intercept Form of Equation of Line -- This Straight Line Video Lesson deals with derivation of slope intercept form of equation of line. If we know the slope of a line and the one point lying in the line, then any time we can find the equation of the line using the formula ,

Y -- y0 = m ( x-x0)

Here m = slope of the line and (x0,y0) point which lie in the line, whose equation we need to find.
To derive this equation -- Slope intercept form , we simply use the trigonometry basics, tangent ratio concept. We know that, in right angled triangle, tangent is the ratio of perpendicular over the base, and base is x coordinate value while perpendicular(opposite) is the y axis value. And slope of the line is m, and just by exchanging and cross multiplying we can derive the slope intercept form of equation, Y -- y0 = m ( x-x0)

I believe this Straight Lines in Coordinate geometry lesson was helpful for you. If there is any doubt or confusion to be asked to me then please feel free to comment below.

[krishanapaswan]

Thank you so much! All doubts are cleared now.