Answer :

rvkacademic

Answer:

- 8

Step-by-step explanation:

Gradient = rate of change of independent variable with respect to the dependent variable

Here the independent variable is x and the dependent variable is y since y is (well) dependent on the value of x whereas x is free roaming

The equation given is that of a linear dependence between y and x

Such a linear relationship can be represented by the general equation
y = mx + b

where m = gradient = rate of change of y wrt x

Given equation is

y = 16 - 8x

rewritten as

y = -8x + 16

This means that the gradient aka slope = - 8

For every unit change of x  y will decrease by 8 units

TheSadRain

Step-by-step explanation:

Our task is to find the gradient of the following line:

  • [tex]\sf y=16-8x[/tex]

Rearrange the last two terms:

  • [tex]\sf y=-8x+16[/tex]

To find the gradient, look at the number that comes in front of x:

  • [tex]\sf gradient=-8[/tex]     Answer

Note: This method of finding the gradient only works for slope intercept equations (equations in [tex]y=mx+b[/tex] form, where m = slope and b = y-intercept)