Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro

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Price-demand equation: d = 1720 − .50p. Put this into slope-intercept form. What are m and b? What is the meaning of m? of b? In general, the graph of an equation y = mx + b defines a line with slope m and y-intercept (0, b). 12
Special forms for linear equations: form. Point Slope Definition 5 An equation of the form y − y 1 = m(x − x 1 ) is a linear equation in point-slope form. In general, the graph of an equation y − y 1 = m(x − x 1 ) is a line with slope m passing through the point (x 1 , y 1 ). Example: What is the point-slope equation for the line with a slope of 3 passing through the point (−4, 6)? 13
Page 1 and 2: Math 103 Section 1.2: Linear Equati
Page 3 and 4: x = y x 2 − y = 3 3x − 4y = 6 y
Page 5 and 6: The shape of the graph of a linear
Page 7 and 8: x− and y− intercepts of an equa
Page 9 and 10: Intercepts for the Price-demand equ
Page 11 and 12: Slope of a line: The slope or steep
Page 13: Special forms for linear equations:
Page 17 and 18: Application: Depreciation. Linear D
Page 19 and 20: Application: Linear Interpolation T
Page 21 and 22: Application: Linear Interpolation S

Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro

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