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Given the equation y=4x-3 , If x increases by 1 unit, what is the corresponding change in y

Guest Apr 20, 2015

Best Answer 

 #2
avatar+93356 
+8

Thanks Heureka,

 

I just want to look at this a little differently.

y=4x-3

$$gradient= \frac{rise}{run}= \frac{change \;in\; y}{change\;in\;x}=\frac{4}{1}$$

so if x changes by 1 unit y changes by 4.    That is just another way to look at the gradient :)

 

The gradient IS the change in y if x increases by 1 unit.

Melody  Apr 20, 2015
 #1
avatar+20011 
+8

Given the equation y=4x-3 , If x increases by 1 unit, what is the corresponding change in y

$$y_1=4x-3\\
y_2=4(x+1)-3\\
y_2=4x+4-3\\
y_2=\underbrace{4x-3}_{=y_1}+4 \\
y_2=y_1+4\\
y_2-y_1=\Delta y = 4$$

 the corresponding change in y is 4

heureka  Apr 20, 2015
 #2
avatar+93356 
+8
Best Answer

Thanks Heureka,

 

I just want to look at this a little differently.

y=4x-3

$$gradient= \frac{rise}{run}= \frac{change \;in\; y}{change\;in\;x}=\frac{4}{1}$$

so if x changes by 1 unit y changes by 4.    That is just another way to look at the gradient :)

 

The gradient IS the change in y if x increases by 1 unit.

Melody  Apr 20, 2015

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