Graphing Linear Equations 2

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to make a linear equation which goes through (5, 4) and has a slope that’s as close to 0 as possible without being horizontal.

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. How can you determine if your linear equation’s slope is closer to 0 than another student’s slope?

Answer

The slope of the line that goes through (5, 4) and has a slope that is as close to 0 as possible without being horizontal is y = (-2/5)x + 6.

Source: Robert Kaplinsky

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