Sunday, February 12, 2012

Intermediate Algebra, Chapter 3, 3.3, Section 3.3, Problem 36

Determine an equation of the line that satisfies the condition "through (12,10); slope 1".

(a) Write the equation in standard form.

Use the Point Slope Form of the equation of a line with (x1,y1)=(12,10) and m=1


yy1=m(xx1)Point Slope Formy10=1(x12)Substitute x=12,y=10 and m=1y10=x12Distributive Propertyx+y=12+10Subtract each side by (x10)x+y=2Standard Formorxy=2



(b) Write the equation in slope-intercept form.


x+y=2Standard Formy=x2Slope Intercept Form

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