Algebra 2

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Algebra 2 Section 9.8 Review for Ch 9 Test Pg.
236
Draw the graph of the equation.
13. -(x y) 3(x y) 6
-x y 3x 3y 6
distributive property
-4x 4y 6
combine like terms
4x 4x 4y 4x 6
get in slope-intercept form y mx b
to graph -start at 3/2 on the y-axis
-slope is 1, so go up 1 and right 1
3
Find the slope of the line through the two points.
(x1,y1) (x2,y2)
17. (-2,-2) , (-3,- 4)
m 2
4
A line has the given slope, y-intercept, or
contains the indicated point(s). Write an
equation, in standard form, of each line.
21.
y y1 m(x x1) point-slope form
eliminate fraction, multiply by 3
3
3y 15 2(x 2)
3y 15 2x - 4
distributive property
-2x 15 -2x 15 -2x 3y 11
get in standard form Ax By C
5
A line has the given slope, y-intercept, or
contains the indicated point(s). Write an
equation, in standard form, of each line.
(x1,y1) (x2,y2)
23. (-3,4) , (-1,5)
y y1 m(x x1) point-slope form
find slope first
eliminate fraction, multiply by 2
2
2y 8 x 3
get in standard form Ax By C
-x 8 -x 8 -x 2y 11
substitute slope in, with one of the points, into
point-slope form
6
Find the slope and the y-intercept of the line
described by the given equation.
get in slope-intercept form y mx b
25. y 2(3 2x) 7
y 6 4x 7 distributive property 6
-4x -4x 6 y - 4x 13
slope y-intercept
- 4 13
7
Is the given point on the line described by the
given equation?
27. (-1,-3) , 2x 3y 7
2(-1) 3(-3) 7 -2 9 7
7 7 yes, the point is on the line
substitute x and y coordinates of point into
equation for x and y
8
Find the distance between the given points.
Round to the nearest hundredth.
(x1,y1) (x2,y2)
29. (-1,2) , (7,4)
8.25
9
Determine the coordinates of the midpoint between
the two points.
(x1,y1) (x2,y2)
33. (4,-3) , (7,4)
10
Determine the coordinates of Q, the other
endpoint of PQ, given P and the midpoint, M.
(x1,y1) (xm,ym)
35. P(-3,6) , M(1,2)
and
substitute
and
multiply by 2
4 6 y2
2 -3 x2
and
-6 -6 y2 -2
3 3 x2 5
(5,-2)
11
Write an equation in standard form that passes
through the given point and is parallel to the
line described by the given equation.
37. (4,-1) , -2x 3y 10
find slope of given line get in slope-intercept
form
2x 2x -3y 2x 10
y y1 m(x x1) point-slope form
parallel lines have same slope substitute slope
in, with point, into point-slope form
clear fraction, multiply by 3
3
get in standard form Ax By C
3y 3 -2(x 4)
3y 3 -2x 8 distributive property 2x -3
2x -3 2x 3y 5
12
Write an equation in standard form that passes
through the given point and is perpendicular to
the line described by the given equation.
39. (2,-7) , 3y 6x 8
find slope of given line get in slope-intercept
form
-6x -6x 3y -6x 8
y y1 m(x x1) point-slope form
m -2
perpendicular lines have slopes which are
negative reciprocals
clear fraction, multiply by 2
2
get in standard form Ax By C
2y 14 x 2
substitute slope in, with point, into
point-slope form
-x -14 -x -14 -x 2y -16