Math, asked by sudhagarsopana, 10 months ago


The points (7, 2) and (-1,0) lie on a line

Answers

Answered by sonuvuce
12

The points (7, 2) and (-1,0) lie on a line x-4y+1=0

Step-by-step explanation:

The given coordinates are

(x_1,y_1)=(7,2)

(x_2,y_2)=(-1,0)

We know that line passing through points (x_1,y_1) and (x_2,y_2) is given by

\boxed{y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)}

Therefore, the equation of the line is

y-2=\frac{0-2}{-1-7}(x-7)

\implies y-2=\frac{-2}{-8}(x-7)

\implies y-2=\frac{1}{4}(x-7)

\implies 4y-8=x-7

\implies x-4y+1=0

Therefore, the points (7,2) and (-1,0) lie on line x-4y+1=0

Hope this answer is helpful.

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