Q3 of 319 Page 24

Put the equation the slope intercept form and find its slope and y - intercept.

Given: the equation is

Concept Used:

General equation of line y = mx + c.

Explanation:

bx + ay = ab

⇒ ay = - bx + ab

⇒ y = x + b

Hence, the slope intercept form of the given line.

∴ Slope = - b/a and y - intercept = b

Reduce the following equations to the normal form and find p and α in each case :

x – 3 = 0

Reduce the following equations to the normal form and find p and α in each case :

y – 2 = 0

Reduce the lines 3x – 4y + 4 = 0 and 2x + 4y – 5 = 0 to the normal form and hence find which line is nearer to the origin.

Show that the origin is equidistant from the lines 4x + 3y + 10 = 0; 5x – 12y + 26 = 0 and 7x + 24y = 50.