Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro
Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro
Try graphing 4x − 3y = 12 by finding two easy solutions to the equation and plotting those. 10 8 6 4 2 10 8 6 4 2 2 4 6 8 10 2 4 6 8 10 What about x = 3? What about y = −4? 4
x− and y− intercepts of an equation: Definition 2 In the graph of any equation of two variables, the points where the graph of an equation crosses the x-axis are called the x-intercepts and the points where the graph crosses the y-axis are called the y-intercepts. What do the coordinates of an x-intercept look like? To find them set = 0 and solve for . What do the coordinates of a y-intercept look like? To find them set = 0 and solve for . The intercepts of a linear equation are easier to locate than the intercepts of most other equations. 5
- 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: The shape of the graph of a linear
- Page 9 and 10: Intercepts for the Price-demand equ
- Page 11 and 12: Slope of a line: The slope or steep
- Page 13 and 14: Special forms for linear equations:
- Page 15 and 16: 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
Try graphing 4x − 3y = 12 by finding two easy solutions to the<br />
equation <strong>and</strong> plotting those.<br />
10<br />
8<br />
6<br />
4<br />
2<br />
10 8 6 4 2 2 4 6 8 10<br />
2<br />
4<br />
6<br />
8<br />
10<br />
What about x = 3?<br />
What about y = −4?<br />
4
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