FIGURE 2.3.10 Graph for Problem 7 FIGURE 2.3.11 Graph for Problem 8 In Problems 9–16, find the slope and the x- and y-intercepts of the given line. Granh the line. 9. 3x – 4y + 12 = 0 11. 2х — Зу %3D 9 10. x – 3y = 3 12. -4x – 2y + 6 = 0 %3D 13.2x+5y - 8 = 0 14. - 10 1 = 0 %D 15. y + x = 1 16. y = 2x + 6 lin In Problems 17–22, find an equation of the line through (1, 2) with the indicated slope. 17. 18. m 10 19.0 20. -2 21. –1 22. undefined In Problems 23–36, find an equation of the line that satisfies the given conditions. 23. through (2, 3) and (6, –5) 24. through (5, -6) and (4, 0) 25. through (8, 1) and (-3, 1)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.