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

Guest Apr 20, 2015

#2**+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**+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**+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