Question

Given the equation y − 3 = 1/2(x + 6) in point-slope form, identify the equation of the same line in standard form.

Can someone please help me?

Answer 1

solve for \(y\) using the following steps
1) distribute the \(\frac{1}{2}\) on the right
2) add 3 to both sides

Answer 2

I got x-2y= -12

Answer 3

oh i should learn to read, hold on

Answer 4

yes, you are right
my instructions were wrong
good work!

Answer 5

Thank you! Can you help me with one more?

Answer 6

sure

Answer 7

not that i actually helped you with that one
this time i will try to be more careful

Answer 8

I try my hardest lol, sometimes I just get stumped, ok, here it goes.

Answer 9

Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of 1/2.

Answer 10

I am copying the answers

Answer 11

y − 6 = one half(x + 3)

y = one halfx − 6

y + 3 = one half(x − 6)

x − 2y = 12

Answer 12

k this one is a straight forward substitution in to the point - slope formula
\[y-y_1=m(x-x_1)\] replace \(m\) by \(\frac{1}{2}\) replace \(x_1\) by \(6\) and replace \(y_1\) by \(-3\)

Answer 13

I am so sorry, but I still do not understand. Some things in this lesson comes to me, and others, not so much.

Answer 14

do you know what i mean by "make a direct substitution"?

Answer 15

I will assume to make an automatic replacement?

Answer 16

yes
so where you see \(m\) put \(\frac{1}{2}\) for example

Answer 17

\[\large y-\color{red}{y_1}=\color{green}m(x-\color{blue}{x_1})\]
\[\color{green}m=\color{green}{\frac{1}{2}}\\
\color{blue}{x_1}=\color{blue}6\\
\color{red}{y_1}=\color{red}{-3}\]

Answer 18

make the substitutions and let me know what you get

Answer 19

My exam just reset so I lost everything..... Well, thank you.

Answer 20

everything? damn!

Answer 21

I know, not to mention all the questions changed.

Answer 22

hurry!

Answer 23

Ok for the question:
Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.

Answer 24

I got 3x-4y= -40

Answer 25

Would that be correct?

Answer 26

that is what i get yes

Answer 27

OK, hang on, I am going to try more lol

Answer 28

k

Answer 29

Ok so the question is:
Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3.

y − 6 = −3x − 3

y − 6 = −3(x + 1)

y = −3x + 3

3x + y = 3

Answer 30

And I got Y-6= -3 (x+1)

Answer 31

yes

Answer 32

Woo! Ok, I have more, sorry to bug you, I just don't want to mess this up.

Answer 33

no problem

Answer 34

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in slope-intercept form.

−three fourthsx + y = 10

3x − 4y = −40

y = three fourthsx + 12

y = three fourthsx + 10

Answer 35

And I got 3x-4y= -10

Answer 36

that is standard form
slope intercept form looks like \(y=mx+b\)

Answer 37

Hmm, Ok lemme figure this out.

Answer 38

ok let me know if you get stuck

Answer 39

Y= 3/4x + 10?

Answer 40

yes

Answer 41

OK, just one more lol

Answer 42

k no problem

Answer 43

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).

y − 4 = −one half(x + 6)

y − 4 = 2(x + 6)

y + 6 = −one half(x − 4)

y + 6 = 2(x − 4)

Answer 44

And I got Y- 4 =2 (x+6)

Answer 45

no your slope is wrong

Answer 46

Poop, ok, let me try to fix this.

Answer 47

\[\frac{0-4}{2+6}=\frac{-4}{8}=-\frac{1}{2}\]

Answer 48

oops sorry i spoiled it

Answer 49

Lol so it would be Y-4= -1/2 (x+6)?

Answer 50

Sorry, I'm trying lol

Answer 51

yes that is it

Answer 52

you are doing fine

Answer 53

Thank you! I got a 100% on my quiz :D

Answer 54

yay

Answer 55

you realize except for the last one you did all the work, i just checked it

Answer 56

Yeah, I am proud of myself. But still, thank you for checking :)

Answer 57

yw