Answer:
- slope: 5/6
- graph: see attached
Explanation:
You want the slope and a graph of the line through points (12, 10) and (24, 20) which are representative of a proportional relationship.
Slope
If the relationship is proportional, it is described by the equation ...
y = kx
where k is the "slope" or "constant of proportionality" or "rate of change."
Solving for k, we find ...
k = y/x
Using one of the given points, we have ...
k = 10/12 = 5/6
The slope of the line is 5/6.
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Additional comment
You don't need the slope to draw the graph. You can plot the two points and draw a line through them. The line will go through the origin when the relationship is proportional.
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