College Algebra, 4th Edition

Cumulative Review Exercises Chapters P–3

1. Find the distance between the points $P(-1,3)$ and Q(2, 5).

2. Find the midpoint of the line segment joining $P(2,-5)$ and $Q(-8,-3).$

3. Find the x- and y-intercepts of the graph of the equation $y=x^2-2x-8$ and sketch the graph.

In Exercises 4 and 5, find the slope and intercepts of the line and sketch the graph.

4. $x+3y-6=0$

5. $x=2y-6$

6. Find an equation in standard form of the circle with center $(2,-3)$ and radius 4.

7. Find the center and radius of the circle with equation

   $$x^2+y^2+2x-4y-4=0.$$

In Exercises 8 and 9, find the slope–intercept form of the line satisfying the given condition.

8. The line has slope 3 and passes through $(1,-2).$

9. The line is parallel to $2x+3y=5$ and passes through (1, 3).

In Exercises 10 and 11, find ...