8_Self_Test_Exercises.docx - Self-Test Exercises 8 Self-Test Exercise 8 Solution 1 a y 2 x 2 3 y 2 x 2 3 2 x y 2 3 3 2 x y 2 3 2 x 3 y 6 b 6 y \u2013 2x 1

8_Self_Test_Exercises.docx - Self-Test Exercises 8...

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Self-Test Exercises 8 Self-Test Exercise 8, Solution 1 a. 2 2 3 y x 2 2 3 y x  2 2 3 x y  2 3( 2) 3 x y  2 3 6 x y b. 1 6 – 2 0 4 y x 1 6 – 2 - 4 y x 1 – 2 6 - 4 x y 1 4(– 2 6 - ) 4 x y 8 24 1 x y Self-Test Exercise 8, Solution 3 a. 2 – 3 6 0 x y Convert to slope-intercept form 2 6 3 x y Reorder the equation 3 2 6 y x Divide both sides by 3, 3 2 6 3 3 3 y x 2 2 3 y x
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Therefore, the slope is 2 3 and the y-intercept is 2. b. 3 4 – 5 0 x y Convert to slope-intercept form 4 –3 5 y x Divide both sides by 4, 4 3 5 4 4 4 y x 3 5 4 4 y x  Therefore, the slope is 3 4 and the y-intercept is 5 4 . Self-Test Exercise 8, Solution 5 3 4 0 y x Get the x intercept by assuming y=0, 3(0) 4 0 x 4 0 x Divide both sides by 4, 0 x 3 4 0 y x Get the y intercept by assuming x=0, 3 4(0) 0 y 3 0 y Divide both sides by 3, 0 x For the third point, choosing x = 3, 3 y + 4 ( 3 ) = 0 3 y =− 12 y =− 4 Therefore, the points are (0,0) and (3,-4).
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Self-Test Exercise 8, Solution 7 3 4 (–3, 5) m  y mx b 3 - 4 y x b Substitute the point into the equation to solve for b, 3 5 - (-3) 4 b 9 5 4 b 9 b 5- 4 11 b 4 3 11 - 4 4 y x Convert to standard form, 3 11 4 4 x y Multiply both sides by 4, 3 4 11 x y The equation of the line is 3 4 11 x y .
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