9-1-3 - C Six skills Given Find 1 any linear equation its...

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1.3 Linear Equations and Functions and Lines Linear equation s equations of form: Ax + By = C where A, B, C are numbers its graph will be a straight line example: x + 2y = 4 here, A=1, B=2 and C=4. Its graph: Linear functions solving x + 2y = 4 for y, we get: y = -(1/2)x + 4 the function defined by this equation is (of course): f(x) = -(1/2)x + 4 its graph is (of course) the above such functions are called linear functions 1-3 p. 1
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Forms of the Equation of a Line 1. slope-intercept form: y = mx + b slope y-intercept 2. point-slope form: y - y 1 = m(x - x 1 ) slope point: (x 1 , y 1 ) 3. standard form: Ax + By =
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Unformatted text preview: C Six skills Given: Find: 1. any linear equation its standard form method : rearrange using algebra 2. any linear equation its slope-intercept form method : solve for y 3. two points slope of line through them method : slope formula 4. equation of line slope of line method : put into slope-intercept; inspect result for slope 5. point and slope equation of line through given point with given slope method : point-slope form 6. two points equation of line through them method : use slope formula to get slope; point-slope form to get equation 1-3 p. 2...
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