Open Middle®
Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to make two linear equations which go through (5, 4): one with a negative slope and one with a positive slope. You may reuse all the integers for each equation.
Hint
How can you determine whether your line intersects the point (5, 4) algebraically? How can you determine whether your line intersects the point (5, 4) graphically? Here’s a link to an already set up Desmos version.
Answer
There are many possible answers including y = (-2/2)x + -9 for a negative slope and y = (4/2)x + -6 for a positive slope.
Source: Robert Kaplinsky
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