Instructions: select the correct answer from each drop-down menu. the slope of the line passing through the points (7, 5) and (21, 15) is a.) 5/7 b.) 7/5 c.) 5 d.) 7 another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point a.) (3, 5) b.) (3, 7) c.) (21, 5) d.) (21, 7)

Part A: Option A

Part B: Option C

Step-by-step explanation:

Given two points (7, 5) and (21, 15)

we have to find the slope of the line passing through above two points.

The slope of line can be calculated as

Option A is correct.  

Part B: Also given another line with a slope that is one-third that of the slope of above and passes through the origin and the point

we have to find the point.

The equation of line becomes

The point which satisfies the above equation passes through the line.

Not satisfied

 Not satisfied

 Satisfied

 Not satisfied

Hence, the line passes through the point (21, 5)

Option C is correct.

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