Find the eqn passing through points *(4,-5),(-1,-2)......
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Answers
Given:
1st point = ( x1, y1 ) = (4,-5)
and
2nd point = (x2, y2) = (-1,-2)
Equation of line passing through two point is given by :-
putting values we get :-
-5(y + 5) = 3(x - 4)
-5y -25 = 3x -12
3x + 5y +13 = 0
which is required equation of line.
||✪✪ QUESTION ✪✪||
Find the equation of line passing through points *(4,-5),(-1,-2)......?
|| ✰✰ ANSWER ✰✰ ||
❁❁ Refer To Image First .. ❁❁
From image , we can see that, we Proved a general formula to Find the Equation of line passing Through two points (x₁ , y₁) and (x₂ , y₂) :--
☙☘ (y - y₁) = (x - x₁) [ (y₂ - y₁) / (x₂ - x₁) ] ☘☙
__________
Given That :-
→ x₁ = 4
→ y₁ = (-5)
→ x₂ = (-1)
→ y₂ = (-2)
Putting all Values in Our Formula now, we get :-
☛ [ y - (-5) ] = ( x - 4) [ {(-2) - (-5)} / {(-1) - 4} ]
☛ (y + 5) = (x - 4) [ (5 -2) / (-5) ]
Cross - Multiplying ,
☛ (-5) * (y+5) = (x - 4) * 3
☛ (-5)y - 25 = 3x - 12
☛ 3x + 5y = (-25) + 12
☛ 3x + 5y = (-13)