Q-8. Prove that M = y/x-b/x.
Ans.
Two separate points (x1, y1) and (x2, y2) establish a straight line.
The point (x, y) is an arbitrary point on the line
The slope, m. of this line is defined as “rise over run.” Or
M = y – y1 = x – x1 (M) = y – y1 x x – x1
x – x1 x – x1
= Mx – Mx1 = y – y1
= Mx + y1– Mx1 = y – y1 + y1
even b is defined as (y1 – Mx1)
Then Mx + b = y
Mx +b –b = y -b
Mx/x = (y – b)/x
So Equation prove is
M = y/x – b/x