Question

i need help on a question that i have been stuck on forever, please help! i'll give you meddles!

2x + 3y = 1,200
Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation.

& I know this is a pain but please dont just tell me the answer can you show me how to work it out, please?

Answer 1

slope intercept form is:
y = mx + b

We need to isolate y.

2x + 3y = 1200
3y = -2x + 1200
y = -2/3x + 400

Answer 2

y = mx + b
m is the slope
b is the y intercept
So...
m = -2/3
b = 400
y = (-2/3)x + (400)

Answer 3

I get to that point then i don't know what to do what the fraction..o.0

Answer 4

This is what i got:
2x+3y=1200
-2x -2x
----------------
3y=-2x+1200
3 3 3
-----------------
y=-2/3x+400

Now i don't know where to go from here...can you please help me?
@jdoe0001 @jcpd910

Answer 5

Ah, you don't have to do anything! :D
The slope is Rise/Run, so your slope is -2/3
That means you go down 2, over 3, and plot that point. :D

Answer 6

what is the y-intercept?

Answer 7

y = mx + b, where b is the y intercept. 400 is b in this equation.

Answer 8

Okay thank you! can you help me on my other question please? its similar. :D

Answer 9

\(\bf 2x + 3y = 1,200 \qquad {\color{brown}{ -2x}}
\\ \quad \\
\cancel{ {\color{brown}{ -2x}}+2x } + 3y = {\color{brown}{ -2x}}+1,200\qquad {\color{brown}{ \div 3}}
\\ \quad \\
\cfrac{\cancel{ 3 }y}{\cancel{ {\color{brown}{ 3}} }}=\cfrac{-2x+1200}{{\color{brown}{ 3}}}\implies y=\cfrac{-2x}{3}+\cancel{ \cfrac{1200}{3} }
\\ \quad \\
y={\color{purple}{ -\cfrac{2}{3}}}x{\color{blue}{ +400}}\qquad {\color{purple}{ slope}}\ and \ {\color{blue}{ y-intercept}}\)

Answer 10

Unfortunately I have to go, but jdoe can help. :)

Answer 11

Okay, thank you again!