**2) Find the intersection of the lines x +
y =
5 and 2x - y = 1. Then graph the lines.**

**3) Find the slopes of the following:**

**
a)
(5, 3) and (2, -3)**

**
b)
4x + 5y = 10**

**
c)
y = -5**

**4) Show that the line through (2, -3) and
(7,
2) is perpendicular to the line through (-3, 7) and (2, 2).**

**5) Find the equation of the line and
write in
general form**

**
a)
y-intercept = -3 and x - intercept = 2**

**
b)
Through (1, 5) and (2, 6)**

**
c)
Line parallel to the line x + 3y = 6 through (0, 0)**

**6) Jim's new car cost $290 per month for
car
payments. He estimates it costs $.25 a mile for gas and
maintenance.**

**
a)
Express the monthly cost as a function of miles.**

**
b)
Find the slope of the function.**

**
c)
What does it cost if he drives 1200 miles this month?**

**7) Simplify each**

** **

** **

**8) Solve each by the indicated method.**

**
a)
(3x -2)(x +4) = 24 by factoring**

**
b)
2x ^{2} - 4x + 5 = 0 by completing the square.**

**9) Find the vertex point, axis of
symmetry, x
and y intercepts and graph the function: y = x ^{2} + 2x -
15**

**10) Rewrite the equation y = 4x ^{2}
+
8x + 2 in the alternate form and state the vertex point.**

**11) If you drive at x miles per hour and
apply
your brakes, your stopping distance in feet is about f(x) = x + x ^{2}/25.**