SOLUTION: Find the gradient and y intercept for the linear realtions and sketch a graph. 2x+y=6 Hi can you help with this please, could you also provide a full explanation please Cheers!

Question 449170: Find the gradient and y intercept for the linear realtions and sketch a graph.
2x+y=6
Hi can you help with this please, could you also provide a full explanation please
Cheers!
Found 2 solutions by lwsshak3, mananth:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the gradient and y intercept for the linear realtions and sketch a graph.
2x+y=6
..
What you have here is an equation of a straight line but you should rearrange the terms so it is in standard form as follows:
y=mx+b, with m=slope or gradient as you call it (∆y/∆x) and b=y-intercept
for given equation:
y=-2x+6
so, slope=-2 and y-intercept=6
The following graph is a visual check on these parameters. Notice the y-intercept at 6, and the negative slope of -2=-∆y/∆x. Also, notice the x-intercept at 3 which is obtained by setting y=0, then solving for x.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
y=-2x+6
gradient = -2
when x= 0,y=6 (0,6)
when y =0,x=3 (3,0)

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