Finding a Point's Quadrant
In which quadrant is the point (-3, 4) located?
Finding the Midpoint of a Line Segment
9. The line segment $A B$ has the endpoints $A(2,-3)$ and $B(-4,-9)$. Point $C$ partitions the line at a ratio of $2: 1$. What are the coordinates of point $C$ ?
$(-1,-10)$
$(-2,-7)$
$(4,1)$
$(-3,0)$
Distance Formula
Find the distance $d\left(P_{1}, P_{2}\right)$ between the given points $P_{1}$ and $P_{2}$.
\[
\begin{array}{l}
P_{1}=(4,2) \\
P_{2}=(-1,4)
\end{array}
\]
Finding Equations Using Slope-Intercept
Given the points (2, 3) and (4, 7) on a line, find the equation of the line in slope-intercept form (y = mx + b).
Finding the Slope
Given two points on a plane, A(2, 3) and B(5, 7), find the slope of the line segment AB.
Finding the y Intercept
Given the points (6, 8) and (4, 12) on a line, find the y-intercept of the line.