Section 2.3 Equations of a Line 157 Expanding Your Skills For Exercises 69–74, given a point P on a line and the slope m of the line, find a second point on the line (answers may vary). Hint: Graph the line to help you find the second point. 1 3 69. and 70. and 71. and m is undefined 2 3 5 4 2 1 y 1 5 4 2 1 y 1 5 4 2 1 y 1 72. and 73. and 74. and 5 4 2 1 y 1 7 6 5 4 2 1 y 1 75. Given that (2, y) and (4, 6) are points on a line whose slope is , find y. 76. Given that (x,4) and (3, 2) are points on a line whose slope is , find x. 77. The pitch of a roof is defined as . a. Determine the pitch of the roof shown. b. Determine the slope of the line segment from point D to point E. rise rafter 67 32 5 4 y 543 2 1 1 2 3 4 5 1 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 x 3 2 1 m 4 5 P1m 1, 42 P1P1 m 0 1, 22 2, 42 543 1 2 3 4 5 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 543 1 2 3 4 5 2 3 4 5 x 3 2 1 m P12, 32 P1P10, 02 m 2 2, 12 E 4 ft D F Rafter 24 ft Equations of a Line Section 2.3 1. Slope-Intercept Form In Section 2.1, we learned that an equation of the form Ax By C (where A and B are not both zero) represents a line in a rectangular coordinate system.An equation of a line written in this way is in standard form. In this section, we will learn a new form, called the slope-intercept form, which is useful in determining the slope and y-intercept of a line. Concepts 1. Slope-Intercept Form 2. The Point-Slope Formula 3. Equations of a Line: A Summary
miller_intermediate_algebra_4e_ch1_3
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