Mathematics, 08.10.2021 18:50 bri0521
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel. Explain.
y = -x +6
= 22
x+y
Are the lines parallel?
O A. Yes, since the product of the slopes of the lines is - 1, the lines are parallel.
O B. No, the lines do not have the same slope so they are not parallel.
O C. Yes, since both lines have a slope of -1, the lines are parallel.
OD. No, since the product of the slopes of the lines is -1, the lines are perpendicular.
Answers: 3
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Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.
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