Question

The equation of the line through the points (1, 5) and (2, 3) is
1 point
(a) 2x – y – 7 = 0
(b) 2x + y + 7 = 0
(c) 2x + y – 7 = 0
(d) x + 2y – 7 = 0​

Answer 1

Answer:

c) 2x+y-7=0

Step-by-step explanation:

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Answer 2

The equation of the line through the points (1, 5) and (2, 3) is 2x + y – 7 = 0

Given :

The points (1, 5) and (2, 3)

To find :

The equation of the line through the points (1, 5) and (2, 3) is

(a) 2x – y – 7 = 0

(b) 2x + y + 7 = 0

(c) 2x + y – 7 = 0

(d) x + 2y – 7 = 0

Solution :

Step 1 of 2 :

Write down the given points

The given points are (1, 5) and (2, 3)

Step 2 of 2 :

Find the equation of the line

The required equation of the line is

$\displaystyle \sf{ \frac{y - 5}{x - 1} = \frac{3 - 5}{2 - 1} }$

$\displaystyle \sf{ \implies \frac{y - 5}{x - 1} = \frac{ - 2}{1} }$

$\displaystyle \sf{ \implies y - 5 = - 2x + 2 }$

$\displaystyle \sf{ \implies 2x + y - 7 = 0 }$

Hence the correct option is (d) x + 2y – 7 = 0