Answer :
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
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)
