If lines are a₁x+ b₁y+ c₁= 0 & General Eq'n of Line:
, lines are || ax+by+c=0
a₂x+b₂y+ c₂= 0 then angle in btw
If a₁a₂+b₁b₂=0, lines are ⊥
Slope/ Gradient m=tan⊝ where ⊝ is angle made by
Perp. dist. of point of Line line & +ve x-axis anti-clockwise
(x₁,y₁) from line
If line passes through
(x₁,y₁) & (x₂,y₂) then
If slopes of 2 lines are m₁ &
If m₁=m₂, lines are || Straight
m₂ resp. then angle btw them Slope intercept form: y=mx+c
If m₁ x m₂=-1, lines are⊥ Lines One point form: y-y₁=m(x-x₁)
bx-ay+k=0 Line ⊥ to ax+by+c=0 Eq'n of Line 2 point form:
ax+by+k=0 Line || to ax+by+c=0 Intercept Form:
, lines are || ax+by+c=0
a₂x+b₂y+ c₂= 0 then angle in btw
If a₁a₂+b₁b₂=0, lines are ⊥
Slope/ Gradient m=tan⊝ where ⊝ is angle made by
Perp. dist. of point of Line line & +ve x-axis anti-clockwise
(x₁,y₁) from line
If line passes through
(x₁,y₁) & (x₂,y₂) then
If slopes of 2 lines are m₁ &
If m₁=m₂, lines are || Straight
m₂ resp. then angle btw them Slope intercept form: y=mx+c
If m₁ x m₂=-1, lines are⊥ Lines One point form: y-y₁=m(x-x₁)
bx-ay+k=0 Line ⊥ to ax+by+c=0 Eq'n of Line 2 point form:
ax+by+k=0 Line || to ax+by+c=0 Intercept Form:
