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Editor Math Question Heeeelp !

by Sash
(Calabasas, California, USA)











































Equation in Point Slope Form

An editor gets $2110 raise each year.

After working eight years, she is making $70,100 per year.

Write an equation in point slope form which models her income in terms of how many years she has worked for he company.

Comments for Editor Math Question Heeeelp !

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Jan 07, 2013
Equation
by: Staff


Answer


Part I

x = time in years

y = annual income in dollars

The Point-Slope Form of a Linear equation is:

(y - y₁) = m (x - x₁)


This format uses a single known point (x₁,y₁) and the slope m

m = slope

single known point = (x₁,y₁)



Writing the Point-Slope Equation for your problem:

m = slope = $2110 per year

single known point = (x₁,y₁) = (8 years, $70100 income)


The final form of your equation in point-slope format

(y - 70100) = 2110 (x - 8)


========================================


The Slope-Intercept Form of a Linear equation is:

y = mx + b


This format uses the slope and the y-intercept

m = slope

b = y-intercept = 53220


The slope-intercept form of the equation can be determined by rearranging the point-slope form. To put the equation in slope-intercept form, simply solve for y.


(y - 70100) = 2110 (x - 8)

y - 70100 = 2110x - 2110*8

y - 70100 = 2110x - 16880

y - 70100 + 70100 = 2110x - 16880 + 70100

y + 0 = 2110x - 16880 + 70100

y = 2110x - 16880 + 70100

y = 2110x + 53220


The final form of the equation in slope-intercept format

y = 2110x + 53220





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Jan 07, 2013
Equation
by: Staff


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Part II



The Standard Form of a Linear equation is:

Ax + By = C


This format uses the coefficients A and B, and the constant C

A = coefficient for the variable x

B = coefficient for the variable y

C = constant


The standard form of the equation can easily determined by rearranging the slope-intercept form.


y = 2110x + 53220

y - 2110x = 2110x + 53220 - 2110x

y - 2110x = 2110x - 2110x + 53220

y - 2110x = 0 + 53220

y - 2110x = 53220

- 2110x + y = 53220


The final form of the equation in standard form

- 2110x + y = 53220







Income vs. Time in Years









Thanks for writing.

Staff
www.solving-math-problems.com


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