IM Geo.6.13 Lesson: Intersection Points
Which one doesn’t belong?
A B
C D
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 .