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Spring 2016
Homework #2
Due on Feb. 12. 2016
Name:
(Please show all steps. Just answer No points. You may use extra papers.)
1.
(20 Points) If two points, A(2,3) and B(-5,7) are in the x-y plane and a line passes two points. Please
fine the following things.
a) (2 Points) Find the slope and y-intercept.
b) (4 Points) Find the linear equation and represent the equation in slope-intercept form.
c) (2 Points) Find the x-intercept and graph using the results in a) b).
d) (2 Points) If you have a line, x 4, in the same plane, please graph the line, x 4, with the line in b)
together. Please find the intersection in two lines. This is the way how can we find the intersection in
graphically or geometrically
e) (5 Points) Now you have two equations which are in the question b) and x 4. Substitute the x 4 in
the equation b) and you can fine the value of “y”. Please find the value of “y” and we can find the
intersection point (x, y). This is the way how can we find the intersection of two lines algebraically,
1) (5 Points) If you have a line, y -3, instead of using x4 please solved) and e).
2. (10 Points) If a line passes through A(2,3) and parallel to a line y+21 2. please find the equation
of the line and draw the graph.
3. (10 Points) If a line passes through A(2.3) and perpendicular to a line y+2x=2, please find the
equation of the line and draw the graph.
4. (20 Points) If there are two lines in the r-y plane. One line, S, passes through two points which are
A(a, b) and B (c,d), and the other line. T, passes through two points which are E(e, f) and F(g,
h). Assume that all four points are in the first quadrant and two lines S and T meet at one point in
the first quadrant. Please draw a profitable graph and find the intersection point (meeting point).
5. (40 Points) If three points A(a,b), B(c,d), and C(e, make a triangle in the first quadrant of the
*-y plane. Please find the area of the triangle. Graph and all the procedural must be presented.

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