Chapter 3_ Sample Exam
Please answer all the questions and show work where appropriate.
1. Find the slope of the line perpendicular to the line passing through
)2,3( −− and )1,5( .
2. Find the slope of the line passing through the given points:
a. )2,3(− and )2,5(
b. )3,2(− and )3,2( −−
3. Given the linear equation 3053
=
−
yx :
a. Express it in slope-intercept form and graph it.
b. Label the x- and y-intercepts on the graph.
4. Find the x- and y-intercepts and use them to graph 632
=
+
yx .
5. Graph the linear function 8)( 3
2
+
−
=
xxf and calculate ).6(f
6. Are the given two lines parallel, perpendicular or neither? ⎭
⎬
⎫
−=+−
=+−
105
4210
yx
yx
7. Graph the following two lines on the same set of axes and indicate where they
cross: ⎭
⎬
⎫
+−=
+=
4
12
xy
xy
8. Find the equation of the line that is passing through )2,8(
−
and parallel to the
line passing through )2,3(
−
− and )1,5( .
9. Find the equation of the line that is passing through )1,2(
−
and perpendicular to
2
5
3+= xy .
10. Find the equation of the line passing through )5,3( and )4,3(
−
. Graph the line
and label any intercepts.
