9A an 9B Extra Practice Name _______________________________ Write each equation in slope intercept form. Then find the a) slope, b) y-­‐intercept and c) x-­‐intercept. 1. 2x + 3y = 6
2. y + 4 = -­‐(x – 3) a) m = _____
a) m = _____
b) y – int: _____
b) y – int: _____
c) x – int: _____
3. y = 3x – 5 a) m = _____
c) x – int: _____
4. 5y = 2x + 10 a) m = _____
b) y – int: _____
b) y – int: _____
c) x – int: _____
c) x – int: _____
Find the a) midpoint, b) distance, and c) slope of the line segment with the given endpoints. (−4, 4), (5, −1)
(−1, −6), (−6, 5)
5. a) Midpoint: _____ b) distance: _____ c) slope: _____ (5, 2), (−4, −3)
6. a) Midpoint: _____ b) distance: _____ c) slope: _____ (−1, 1), (5, −5)
7. a) Midpoint: _____ 8. a) Midpoint: _____ b) distance: _____ b) distance: _____ c) slope: _____ c) slope: _____ Find the other endpoint of the line segment with the given endpoint and midpoint.
9. Endpoint: (−1, 9), midpoint: (−9, −10)
10. Endpoint: (2, 5), midpoint: (5, 1)
11. Find the point that is one-fourth of the way 12. Name a point that is 2 away from (-1, 5).
from (2, 4) to (10, 8).
9A an 9B Extra Practice Name _______________________________ 13. Fill in the blank so that the lines are
14. Fill in the blank so that the lines are
parallel. Line A goes through (0, 8) and
perpendicular. Line A goes through (0, 8) and
(−2, 0). Line B goes through (1, 2) and (3, __). (−2, 0). Line B goes through (7, 5) and (3, __).
Write the equation of the line in slope-­‐intercept form. 15. The line has a slope of 2 and a y-­‐
16. The line has a slope of ¼ and passes intercept of -­‐3. through the point (-­‐2, 4). !
18. The line is perpendicular to the line 17. The line is parallel to the line 𝑦 = ! 𝑥 𝑦 = −𝑥 + 5 and passes through the point and passes through the point (2, 0). (2, 5). Classify the triangle with the given vertices by its angles (acute, obtuse, or right). 19. A (4, 3), B(8, 5) and C(8, 3) 20. D (2, 2), E(-­‐1,3) and F( 5, -­‐4) 21. Classify the quadrilateral with the given 22. Using the vertices from #21, determine vertices: A(2, 1), B(6, -­‐1), C(8, 7) and D(4, 9). whether or not the diagonals bisect each Show work and explain your reasoning. other. Show the work that justifies your conclusion.