Question

please help!

State whether the lines are parallel, perpendicular, coinciding, or neither:
2y−34=8x and y−4x=17

Answer 1

Answer:

Coinciding lines

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Answer 2

Answer:

Coinciding

Step-by-step explanation:

Two lines $a_1x+b_1y=c_1$ and $a_2x+b_2y=c_2$ are called,

(i) Parallel,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}$

(i) Coincides,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}= \frac{c_1}{c_2}$

Here, lines are,

2y−34=8x ⇒ 8x - 2y = -34

y−4x=17 ⇒ -4x + y = 17

$\because \frac{8}{-4}=\frac{-2}{1}=\frac{-34}{17}=-2$

Hence, lines are coincides.

Note : Coincides lines can not perpendicular.