Question

Help

Answer 1

@Vijeya3

Answer 2

First step: Get the equation into slope-intercept form! y =mx+b
Step 2: remember that parallel lines will have the same slope, and perpendicular lines will have the opposite reciprocal of the slope.

Answer 3

slope intercept form...\(y=mx+b\) where \(m\) is the slope, and \(b\) is the y-intercept (which is where \(y=0\) on the graph).

Answer 4

you guys are so good at math lol... i suck haha... i wouldnt be good at math if it slapped me in the face lol

Answer 5

basically isolate the \(y\) variable and you have the slope intercept form.
anything that is perpendicular to a line means you have the negative reciprocal of the slope of the line.

Answer 6

if you have normal line with slope \(a\)... then your equation is\[y_{1}=(a)x+b\]now we find the negative reciprocal, which is \(\large{-\frac{1}{a}}\)... so\[y_{2}=\left(-\frac{1}{a}\right)x+b\]

Answer 7

does this make sense?

Answer 8

nope... @563blackghost

Answer 9

@dumbcow @AloneS

Answer 10

what part of it does not make sense?

Answer 11

would you like me to start over from the beginning?

Answer 12

math doesnt make sense... no i good... i got my friend coming thanks though

Answer 13

@Will.H

Answer 14

no, I am a tutor and it's my duty to finish what I start :P
now tell me where you're confused

Answer 15

i got my personal tutor mate :)

Answer 16

and im confused with math lol... it sucks

Answer 17

you have the original line \(-x+4y=20\), yes?
this needs to be in the slope intercept form of \(y=mx+b\) to understand the rest. so you need to isolate the \(y\).\[-x+4y=20\]\[4y=x+20\]\[\frac{\cancel{4}y}{\cancel{4}}=\frac{x}{4}+\frac{20}{4}\]\(\large{y=\frac{x}{4}+5}\) or \(\large{y=\frac{1}{4}x+5}\), making the slope \(\large{\frac{1}{4}}\)

Answer 18

so the slope for the original line is 1/4

Answer 19

Main equation is
-X + 4y = 20
Set it in slope form so that we get to recognize the slope.
4y = x + 20
Y = 1/4)x + 5
Slope is 1/4 whichever equation share the same slope it would be parallel to that. Whichever gets a product of -1 would be perpendicular.
Let's see the 1st one
-X + 4y = 8
4y = x + 8
Y = 1/4)x + 2
So this is parallel

The 2nd is
4x + y = -1
Y = -4x -1
-4 * 1/4 = -1. Therefore perpendicular

The 3rd
Is neither

The 4th is perpendicular

Answer 20

yup ☺

now if you want to find the slope of a \(perpendicular\) line, then you take the negative reciprocal of the slope, which is basically -1 divided by the original slope.
the slope of the original line is a fraction \(\large{\frac{1}{4}}\), so if you divide -1 by that you get \[-1\div\frac{1}{4}\rightarrow-1\times\frac{4}{1}=\frac{-4}{1}=-4\]

Answer 21

so in the perpendicular line you would have something like this:\[y=-4x+b\]

Answer 22

(you might have to convert all those answer choices to \(y=mx+b\) form though. remember to keep the \(y\) by itself!)

Answer 23

Good work kitti

Answer 24

thanks @Will.H