Question

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

Answer 1

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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