# solving equations.

• Mar 7th 2010, 05:19 PM
nfgcharlottegrl08
solving equations.
Any info on how to solve these would be greatly appreciated! I am in an online math course and it's been years since I've taken a math class so I'm having some trouble. Thanks!

1) Given 5x + 2y = 9, solve for y in terms of x. Then identify the slope of the line and the y-intercept of the line.

2) Solve the equation: 6x - 2y = 12 for y.
• Mar 7th 2010, 05:22 PM
Prove It
Quote:

Originally Posted by nfgcharlottegrl08
Any info on how to solve these would be greatly appreciated! I am in an online math course and it's been years since I've taken a math class so I'm having some trouble. Thanks!

1) Given 5x + 2y = 9, solve for y in terms of x. Then identify the slope of the line and the y-intercept of the line.

2) Solve the equation: 6x - 2y = 12 for y.

1) If the equation of a line is given in $\displaystyle y = mx + c$ form, then you can read off the slope ($\displaystyle m$) and the $\displaystyle y$ intercept ($\displaystyle c$)[/tex].

So $\displaystyle 5x + 2y = 9$

$\displaystyle 2y = -5x + 9$

$\displaystyle y = -\frac{5}{2}x + \frac{9}{2}$.

What is the slope and $\displaystyle y$ intercept?

2) $\displaystyle 6x - 2y = 12$

$\displaystyle -2y = -6x + 12$

$\displaystyle y = 3x - 4$.