For each equation, show how to rewrite the equation to make a straight line grap

Question

For each equation, show how to rewrite the equation to make a straight line graph of some function of y versus some function x. IDENTIFY THE SLOPE AND THE VERTICAL INTERCEPT. EXAMPLE - y^2 - a = bx(1/2) rewrtied as y^2 = a + bx (1/2) plot y^2 on the vertical axis and x^(1/2) on the horizontal axis. The slope is then b and the vertical intercept is a. PLEASE SHOW WORK!!! AND GRAPH IF POSSIBLEE!! WILL DEFF RATEEEE!!!!! 1. y= [c + dx^(1/3)]^2 2. y= ae^(kx) 3. y= kx^n (determine k and n) 4.( y^2 + b)= ax 5. y= a[1-bx^(3/4)]

Explanation / Answer

1. y= [c + dx^(1/3)]^2

y^(1/2) = c + dx^(1/3)

plot a graph between, y^(1/2) and x^(1/3)

Slope = d

Intercept = c

2) y= ae^(kx)

=> ln(y) = ln(a) + kx

Make a graph between ln(y) and x

Slope = k

Intercept = ln(a)

3) y= kx^n

Plot a graph between y and x^n

Slope = k

Intercept = 0

4)( y^2 + b)= ax

Ploat a graph between y^2 and x

Slope = a

Intercept = -b

5) y= a[1-bx^(3/4)]

Plot a graph between y and x^(3/4)

Slope = -ab

Intercept = a

Use this to plot graph: http://fooplot.com/

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