Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4 (x – 8). What is the slope-intercept form of the equation for this line?

Answer 1

\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)

Answer 2

You are currently in the openstudy feedback section this belongs in the math section but no worries i can help ^_^
This is the equation in point slope form
\[\huge~\rm~\bf~ y – 4 = 1/4 (x – 8) \]
Slope intercept form is:
\[\huge~\rm~\bf~y=mx+b \]
To but the point slope equation into slope intercept we start by distributing the fraction first.

Answer 3

Can you tell me what we have once we distribute? :)

Answer 4

i thought it was y=1/4x-4 but its wrong

Answer 5

and thx I'm new so learning where everything is so srry i post in wrong area

Answer 6

Ok let's do it step by step :)
1/4 * x= 1/4x
1/4 * -8=?
No worries we all make mistakes ^_^

Answer 7

8/-32?

Answer 8

not quite :)
\[\huge~\rm~\bf~\frac{ 1\times -8 }{ 4 \times 1 }=? \]

Answer 9

-8/4?

Answer 10

Good now divide -8 divded by 4=?

Answer 11

-2

Answer 12

Perfect :)
\[\huge~\rm~\bf~y-4=1/4x-2\]
Now simply add 4 to both sides

-4+4=?
-2+4=?

Answer 13

-8 and -6 (y=1/4x+2)??

Answer 14

The answer is correct
y=1/4x+2
How ever -4+4=0
adding 4 to negative 4 cancels it out
-2+4 makes it a postive 2

Answer 15

ok thx for clearing that up for me, and thx a lot for the help!

Answer 16

yw ^_^
Once again welcome to openstudy!

Answer 17

hello! I can see you are new here, having you considered reading the CoC? :)
Also, glad you joined us! Just remember we are always here to help!

Answer 18

ok thx:)

Answer 19

@pooja195

Answer 20

:-)

Answer 21

Don't forget to close your post when you feel like your question is adequately answered!

Answer 22

okay thx