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IM Geo.6.13 Lesson: Intersection Points

Which one doesn’t belong?

AB

CD


The equation (x-3)² +(y-2)² =25 represents a circle. Graph this circle on the coordinate grid.

Graph the line  above. At what points does this line appear to intersect the circle?

How can you verify that the 2 figures really intersect at these points? Carry out whatever procedure you decide.

Graph the line  above. At what points does this line appear to intersect the circle? Verify that the 2 figures really do intersect at these points.

Write an equation representing the circle in the graph.

Graph and write equations for each line described:

any line parallel to the -axis that intersects the circle at 2 points

any line perpendicular to the -axis that doesn’t intersect the circle

the line perpendicular to  that intersects the circle at 

Graph the equations y-3=(x-2)² and y-4=2(x-3) and find their point of intersection.

Show that the graph of  and  intersect at the point .