Straight Line

Question 1

Slope of line formula

Answer 1

m = tanθ = y2-y1 / x2-x1

Question 2

Perpendicular lines formula

Answer 2

m1× m2 = -1

Question 3

Angle between intersecting lines formula

Answer 3

Tanθ = |m1-m2 / 1+ m1×m2|

Question 4

Slope point form

Answer 4

(y-y1) =m(x-x1)

Question 5

Slope intercept form

Answer 5

y = mx+c

Question 6

Two points form

Answer 6

y-y1/ x-x1 = y2-y1 / x2-x1

Question 7

Double intercept form

Answer 7

x/a + x/b =1

Question 8

Normal form

Answer 8

x cos α + y sin α = p

Question 9

General form

Answer 9

ax+by+c=0

m= -a / b

Question 10

If line is passing through the origin

Answer 10

y = mx

Question 11

Distance of the point(origin) from the line

Answer 11

P = | c / √a^2+b^2 |

Question 12

Distance of the point p(x1,y1)from the line

Answer 12

P= | ax1+by1+c / √a^2+b^2|

Question 13

Distance between the parallel lines

Answer 13

P = | c1-c2 / √a^2+b^2 |