\begin{tabular}{l} Find the midpoint between the two points. (Show work) (Page 26, 35) (2pts) \\ \hline\( G(-42,-22) \) and \( H(-62,92) \) \\ \( \left(x_{m}, y_{m}\right)=( \)\end{tabular}

Write the equation of the circle centered at \( (-9,9) \) with diameter 14.

Explain why parallel lines in a coordinate plane have equal slopes.

Find the focus, directrix, vertex and axis of symmetry for the parabola Focus \( =\square(y+1)^{2}=-8(x+3) \) Directrix \( =\square \) Vertex \( =\square \)

Given the ellipse \( \frac{(x-3)^{2}}{4}+\frac{(y-5)^{2}}{36}=1 \) Find the center point: List the vertices:

Find the distance between the pair of points. Give an exact answer and an approximation. \( (4,6) \) and \( (5,12) \) The exact distance between the given pair of points is \( d= \) (Simplify your answer. Type an exact answer, using radicals as needed.) The approximate distance between the given pair of points is \( d \approx \square \) (Round to three decimal places as needed.)