Question

Find equation of line passing through the two points (3,5) and (-4,2)
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Answer 1

Answer:

equation of line formula is y-y1=m(x-x1)

y1-y2÷x1-x2=m

-4-2÷3-5=3

m will be the slope

so equation of line will be y-(-4)=3(x-3)

y+4=3x-9

this is the equation if line which is passing through the points (3,5) and (-4,2)

Answer 2

Given:-

The points are , (3,5) and (-4,2)

To Find:-

Equation of the line passing through the given points

Explanation:-

From two-point form

$\blue{\boxed{\pink{\dfrac{y - y_1}{y_2 - y_1} = \dfrac{x - x_1}{x_2 - x_1}}}}$

Here,

• $x_1 = 3$
• $x_2 = -4$
• $y_1 = 5$
• $y_2 = 2$

On putting the values

${\rightarrow}\:\dfrac{y-5}{2-5} = \dfrac{x-3}{-4-3}$

${\rightarrow}\:\dfrac{y-5}{-3} = \dfrac{x-3}{-7}$

${\rightarrow}\:-7(y-5) = -3(x-3)$

${\rightarrow}\:-7y+35 = -3x+9$

${\rightarrow}\:3x-7y+35-9 = 0$

${\rightarrow}\bold{\:3x-7y+26 = 0}$

•°• The required equation is 3x-7y+26 = 0