Problem 2
Find the coordinates of the point \(P .\). \(P\) lies 4 units to the left of the \(y\) -axis and 5 units below the \(x\) -axis.
Problem 3
Find the coordinates of the point \(P .\). \(P\) lies 3 units above the \(x\) -axis and on the same vertical line as (-6,7).
Problem 3
\(b, c,\) and \(d\) are real numbers such that \(b<0\) \(c>0,\) and \(d<0 .\) Determine whether the given number is positive or negative. $$-b$$
Problem 5
Find the coordinates of the point \(P .\). \(P\) lies 4 units to the right of the \(y\) -axis, and its \(y\) -coordinate is half its \(x\) -coordinate.
Problem 10
In what quadrant(s) does a point lie if the product of its coordinates is (a) positive? (b) negative?
Problem 11
Let \(L\) be a nonvertical straight line through the origin. \(L\) intersects the vertical line through (1, 0) at a point P. Show that the second coordinate of \(P\) is the slope of \(L\).
Problem 19
Find the distance between the two points and the midpoint of the segment joining them. $$(a, b),(b, a)$$
Problem 21
Solve the equation by factoring. $$3 u^{2}-4 u=4$$
Problem 27
Find the slope and y-intercept of the line whose equation is given. $$3(x-2)+y=7-6(y+4)$$
Problem 38
Graph the equation. Label all intercepts. $$2 x-3 y=12$$