Review for Test on Equations of Lines
For each graph write an equation in all three forms (SIF, PSF, Standard Form).
If it is a vertical or horizontal line, just give one equation.
1.
2.
3.
4.
For 5 – 6 graph the equation by using its slope and y-intercept.
5.
6.
For 7 – 8 graph the equation by finding the
7.
–
8.
–
and
intercepts. Show all work.
x
y
  1
2
3
9. Given the following graph, find an equation of a line that is parallel, and an equation of a line
that is perpendicular. Then graph the two lines.
For 10 – 11, rewrite the equation in Standard Form.
10.
–
11.
–
For 12 – 17, write the equation of the line described in standard form.
12.
passes through
13.
passes through
14.
15.
16.
17.
Determine whether the following pairs of lines would be parallel, perpendicular, or
neither.
18.
19.
1
2
20.
21.
1
y   x6
2
y=
4
x9
3
22.
Write an equation in Point-Slope Form for a line parallel to y =
1
x  2 and passing
4
through (4,-5).
23.
Write an equation in Slope-Intercept Form for a line perpendicular to -5y = x – 1 and
 2 1
passing through  ,  .
 9 3
24.
Write an equation for a line parallel to
and passing through
25.
Write an equation in standard form for a line parallel to
through
.
26.
Write an equation for a line perpendicular to
27.
1
Write an equation in Slope Intercept Form for a line parallel to y =  x  3 and passing
3
through
–
and passing
and passing through
.
28.
What is the relationship between an equation and its graph?
29.
Find the coordinates of 3 points on the graph of