PLEASE HELPPP ME and like how did you get this cause this is confusing me

One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)

Solve for x where 0 equation: cot^2x+2cotx+1=0

Astrid spent $36 on new shoes. this was $12 less than twice what she spent on a new skirt. part a: which equation would solve for how much she spent on the skirt? part b: solve the equation in the workspace provided below. how much did astrid spend on her skirt?