The coordinates of the point where the line 2(x – 3) = y – 8 meet

1.	The coordinates of the point where the line 2(x – 3) = y – 8 meet the X – axis ……………… A) (3, 0) B) (2, 0) C) (-1, 0) D) (-2, 0)
Answer» Correct option is (C) (-1, 0) The y-coordinate of any point on X-axis is zero. i.e., for any point on X-axis, we have y = 0. Put y = 0 in given equation, we get 2(x – 3) = y – 8 \(\Rightarrow\) 2(x – 3) = 0 - 8 = -8 \(\Rightarrow\) x - 3 = \(\frac{-8}2\) = -4 \(\Rightarrow\) x = 3 - 4 = -1 \(\therefore\) Required point is (x, y) = (-1, 0) Hence, given line meets X-axis at point (-1, 0). Correct option is C) (-1, 0)

The coordinates of the point where the line 2(x – 3) = y – 8 meet the X – axis ……………… A) (3, 0) B) (2, 0) C) (-1, 0) D) (-2, 0)

Answer»

Correct option is (C) (-1, 0)

The y-coordinate of any point on X-axis is zero. i.e., for any point on X-axis, we have y = 0.

Put y = 0 in given equation, we get

2(x – 3) = y – 8

\(\Rightarrow\) 2(x – 3) = 0 - 8 = -8

\(\Rightarrow\) x - 3 = \(\frac{-8}2\) = -4

\(\Rightarrow\) x = 3 - 4 = -1

\(\therefore\) Required point is (x, y) = (-1, 0)

Hence, given line meets X-axis at point (-1, 0).

Correct option is C) (-1, 0)