My Math Forum Y intercept and gradient

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 May 5th, 2015, 08:44 AM #1 Senior Member   Joined: Jan 2015 From: London Posts: 108 Thanks: 2 Y intercept and gradient 3x=15+6y goes to -6y=15-3x then y= 15-3x/-6 I don't know can someone help please
 May 5th, 2015, 09:40 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs We are given the line: $\displaystyle 3x=15+6y$ The easiest way I know of the get the slope (gradient) and $y$-intercept at the same time is to write the line in slope-intercept form $y=mx+b$: $\displaystyle y=\frac{1}{2}x-\frac{5}{2}$ Now it is easy to see that the $y$-intercept is at the point: $\displaystyle (0,b)=\left(0,-\frac{5}{2}\right)$ and the slope is: $\displaystyle m=\frac{1}{2}$

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