Question 449170
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.


{{{ graph( 300, 300, -10, 10, -10, 10, -2x+6) }}}