standard_description: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
problem_activity: Problem 1
Is the perimeter of a square proportional to the side length of a square?
Is the area of a square proportional to the side length of a square?
Justify your answer to each question using tables, graphs, and/or equations.
Problem 2
At Sunny’s Market, soda water costs $2.55 for 3 liters.
Which stores below sell soda water at a price that is proportional to the price at Sunny’s Market?
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Problem 3
Ahmed hiked at a constant speed for 6 hours and covered 21 miles. This is represented in the coordinate plane below.
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Which coordinate points, when graphed on the plane above, would be in a proportional relationship to Ahmed’s hike? Select
all
that apply.
A.  (0, 3.5)
B.  (1, 3.5)
C.  (2, 7)
D.  (3, 14)
E.  (4, 15)
F.  (5, 17.5)
G.  (8, 28)


aligns: no