Question

find equation of straight line which passes through two points (10,5)and(7,3)​

Answer 1

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Answer 2

Given :-

A straight line passes through the two points (10, 5) and (7, 3)

To find :-

The equation of straight line

Solution :-

Inorder to find the required equation of straight line where two coordinates are given through which the given line passes, we use two point form of straight line.

Two point form:

$\boxed{\sf y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}$

Here,

• (x1, y1) = (10, 5)
• (x2, y2) = (7, 3)
• (x, y) are variables

By substituting the known values in the two point form equation, we get:

$\sf \implies y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$\sf \implies y - 5= \dfrac{3 - 5}{7 - 10}(x-10)$

$\sf \implies y - 5= \dfrac{ - 2}{ - 3}(x-10)$

$\sf \implies y - 5= \dfrac{2}{3}(x-10)$

$\sf \implies 3(y - 5)= 2(x-10)$

$\sf \implies 3y - 15= 2x-20$

$\sf \implies 0= 2x - 3y-20 + 15$

$\sf \implies 0= 2x - 3y-5$

Hence this is the required equation of straight line.

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Straight lines lesson all formulas

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