Question

How to find the gradient of this line: y = 4 – 3x

Answer 1

There exists 2 famous methods one is algebraic and the other is calculus, regardless of other methods such as the graphical method

Answer 2

y = 4 – 3x

// i'm pretty sure that by gradient, they mean what is the slope of the line

// rewrite in the form y = mx+b, where m is the slope/gradient.
y = (-3)x+4

your slope/gradient is -3.

attached is a graph of your line
http://www.wolframalpha.com/input/?i=y+%3D+-3x%2B4

Answer 3

you may differentiate the linear equation you have

Answer 4

y = 4-3x, -> dy/dx= -3=m

Answer 5

or use the superposition principle to compare the above equation with the general linear form of a linear equation, which is y = mx+c

Answer 6

y = -3x+4, therefore m=-3

Answer 7

there exist a lot of methods to solve this problem