Gradients homework help!?

when you expand the brackets:

y=6-8x

therefore you can see it takes the form of a straight line y=mx+c

now you can draw it on a graph and find rise/run

y=2(3-4x)

In other words,

y=6-8x

Since the coordinates of the line will be always lower by 6-8x, the gradient would be -8.

It helped for me when I drew these questions on a graph.

Firstly y=2(3-4x) needs to be rewritten in the form y = x + a

So y=2(3-4x)

therefore y = (2*3) - (2*4*x)

therefore y = 6 - 8x or alternatively

y = -8x + 6

The gradient is the multiplier on the x, in this case -8.

you have to draw a triangle going off the straight line, then divide the height by the length to find the graident.

Hope this has helped :) :)