How do you find the slope for 2x + 4y = 8?
2 Answers
Gradient is
Explanation:
Given:
Divide both sides by 4 so that there is no number (coefficient) in front of
But the x term is on the same side as the y term so
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract
But
Divide both sides by 4
But
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now your equation is in standard form of
The slope (the gradient) of the function is:
Explanation:
If we rearrange the function to what is referred to as Gradient Form we can determine the slope (the gradient) of the function.
Gradient form can be defined as:
Where
and
Therefore, if we rearrange the function you have given into Gradient Form :
Therefore, when rearranged into Gradient Form we can see that the coefficient of