Maths Class 11 Chapter 10. Straight lines | Page 12

Or y = ¾ x + 10 / 4 Thus slope is ¾, comparing this with y = mx + c form X & y intercept form is x / a + y / b = 1, lets rewrite our equation in this form 3x – 4y + 10 = 0 or 3x – 4y =- 10 or-3/ 10 x + 4 / 10y = 1( dividing both side by-10) or x /(-10/ 3) + y /( 5 / 2) = 1 Thus x intercept a =-10/ 3 & y intercept b = 5 / 2
Distance of a point from of a line
Distance of Point P( x1, y1) from line Ax + By + C = 0 is Distance d.
Numerical: Find the distance of the point( 3, – 5) from the line 3x – 4y – 26 = 0.
Solution: Distance of Point P( x1, y1) from line Ax + By + C = 0 is Distance d. Here x1 = 3 & y1 =-5