Name: _________________________________ Date: __________
Chapter 5 STUDY GUIDE
Remember:
Find the slope of the line passing through each pair of points.
1.) (-3, 2) , (3, -8)
2.) (-1,5) , (-6, 5)
3.) (4, 0) (4, 5)
4.) (1, -4) (-2, -5)
Assume y varies directly as x.
1. Write a direct variation equation that relates x and y.
2. Solve for the missing variable.
5.) If y = 5, when x = 10, find y when x = -15.
Remember:
The constant of
variation is k.
and
6.) If y = -9 when x = 3, find x when y = -8.
Set up a proportion
and cross multiply to
solve for the missing
variable!
7.) If y=3 when x =2, what is the constant of variation?
8.) If y=-4 when x=-12 what is the constant of variation?
Write an equation of the line with the given slope and y-intercept.
9.) slope = , y-intercept =
10.) slope =
(0,5)
Remember:
Graph each line.
11.)
12.)
y
y
6
6
Remember:
5
5
4
4
3
3
2
2
1
–6
–5
–4
–3
–2
1
–1
–1
1
2
3
4
5
6 x
–2
–3
–4
–5
–6
1)
Graph the yintercept first.
2)
Use the slope
to find the second
point.
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
6 x
1
2
3
4
5
6 x
–2
–3
–4
–5
–6
13.)
14.)
y
y
–6
–5
–4
–3
–2
6
6
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
6 x
–6
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
–6
–6
15.) Write an equation of the line that passes through each point with the given slope. Write the equation in
slope- intercept form.
(-1, 3) ,
Remember:
Use the slope
formula to find slope
if you need to.
16.) Write an equation of the line in slope-intercept form that passes through
each pair of points.
(2, 0) (-3, 4)
Use the slopeintercept form
(
) to
solve for b.
Then write your
equation.
17.) Write the equation of a horizontal line that passes through (-4, 5).
Remember:
VUX HOY
18.) Write the following equation in standard form.
Remember:
No fractions
X cannot be negative.
19.) Write the following equation in standard form.
20.) Find the equation of the line that passes through the point (-4, 2) and is parallel to the line
21.) Find the equation of the line that passes through the point (-5,1) and is perpendicular to the line
.
.