Question

Please help!

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

Answer 1

Coinciding lines

This app called desmos is good for graphing btw

Answer 2

Coinciding

Explanation:

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

(i) Parallel,

`(a_1)/(a_2)=(b_1)/(b_2)\\eq (c_1)/(c_2)`

(i) Coincides,

`(a_1)/(a_2)=(b_1)/(b_2)= (c_1)/(c_2)`

Here, lines are,

2y−34=8x ⇒ 8x - 2y = -34

y−4x=17 ⇒ -4x + y = 17

`\because (8)/(-4)=(-2)/(1)=(-34)/(17)=-2`

Hence, lines are coincides.

Note : Coincides lines can not perpendicular.