Goalie saving a soccer ball

Image by skeeze via Pixabay (CC0)

Solve by graphing: Dave and Kevin are both on the soccer team at their high school. Dave is a forward and Kevin is the goalie. During practice, Dave kicked the ball and it followed a parabolic path that can be modeled by the following equation: y=−0.5x2+x+8y=-0.5x^2+x+8 In order to prevent a goal from being scored, Kevin dives towards the ball. His dive can be modeled by a line with the equation: y=−2x+13y=-2x+13 At what point will Kevin catch the ball?

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