Question

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

(a) 7 37 y x = − (b) 4 1 y x = +

(c) y x = 7 7 + (d) x y = 4 1​

Answer 1

4y = x + 1  is the line on which The points (7, 2) and(− 1 , 0 ) lie

Step-by-step explanation:

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

Slope -  ( 0 - 2)/( - 1 -  7)  =  -2 /-8  = 1/4

y = mx + c

m = 1/4

=> y  = x/4  + c

2 = 7/4  + c

=> c = 1/4

=> y = x/4  + 1/4

=> 4y = x + 1

4y = x + 1  is the line on which The points (7, 2) and(− 1 , 0 ) lie

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Answer 2

4y - x = 1

Step-by-step explanation:

Given points are (7,2) and (-1,0).

Here $x_{1}$ = 7 , $y_{1}$ = 2, $x_{2}$ = -1 and $y_{2}$ = 0

The slope of the line which passes through the given points is(m) =$\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

                                                                                                              =$\frac{0-2}{-1-7}$

                                                                                                              = $\frac{-2}{-8}$

                                                                                                               =$\frac{1}{4}$

The equation of the line is

(y - $y_{1}$) = m (x - $x_{1}$)

⇒(y- 2) = $\frac{1}{4}$(x- 7)

⇒4y - 8 = x-7

⇒4y -x = -7+8

⇒4y - x = 1