# 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 !

 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 --------------------------------------------------

 Jan 07, 2013 Equation by: Staff -------------------------------------------------- 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 Thanks for writing. Staff www.solving-math-problems.com

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