Question

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

(A) 7y = 3x – 7 (B) 4y = x + 1 (C) y = 7y + 7 (D) x = 4y +1​

Answer 1

Answer:

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}m=

x

2

−x−1

y

2

−y

1

Substituting the values

\begin{gathered}m=\frac{0-2}{-1-7}\\\\m=\frac{-2}{-8}\\\\m=\frac{1}{4}\end{gathered}

m=

−1−7

0−2

m=

−8

−2

m=

4

1

Point slope form of a line is given by

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

y−y

1

=m(x−x

1

)

y−2=

4

1

(x−7)

4y−8=x−7

4y=x+1

Thus, Option (2) is correct.

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