Question

The points (7, 2) and (-1, 0) lie on a line –
1. 7y = 3x-7
2. 4y = x+1 3.
Y = 7x+7
4. X = 4y+1

Answer 1

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

4y = x+1

Step-by-step explanation:

The given points are (7, 2) and (-1, 0)

The slope of the line is given by

$m=\frac{y_2-y_1}{x_2-x-1}$

Substituting the values

$m=\frac{0-2}{-1-7}\\\\m=\frac{-2}{-8}\\\\m=\frac{1}{4}$

Point slope form of a line is given by

$y-y_1=m(x-x_1)\\\\y-2=\frac{1}{4}(x-7)\\\\4y-8=x-7\\\\4y=x+1$

Thus, Option (2) is correct.

#Learn More:

The point such as (0,x) (0,-x) (0,y) (0,-y)lie on the same line name the line

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