Write the equation of the line that passes through the points (−5,7) and (2,−4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Which graph represents the following piecewise defined function?

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.