Nine congruent rectangles are arranged on a coordinate plane. What is the slope of a line through (-4,0) that divides area of rectangles in half.

Question

The rectangles are all 4 by 2 units.

Here is a link to the picture:

desmos.com/calculator/vgi86d5zjn

Answer 1

Visit this graph and click the title at the top to cycle through the different lines:

desmos.com/calculator/5nualirwdy

Answer 2

What are the coordinates of the point where the line intersects the right-most rectangle? (at m)

Use the formula for slope.