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m = 1/7 is the slope
(x,y) = (0,0) is the origin the line goes through
y = mx+b
0 = (1/7)*0 + b
0 = 0+b
b = 0 is the y intercept
y = mx+b
y = (1/7)x+0
y = (1/7)x is the equation of the line
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To plot the equation of this line, mark the point (0,0) first.
Then move up 1 unit and to the right 7 units to arrive at (7,1) as the second point.
Draw a straight line through (0,0) and (7,1) as shown in the diagram below.
Point P is (0,0) and point Q is (7,1)
Points A through E in the same diagram represent the answer choices A through E.
Of the answer choices, only point D is on this line, so point D is the answer.
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A non-visual way to find the answer is to plug each (x,y) coordinate from each answer choice into the equation we found above.
So for choice A we plug in x = 0 and y = 7
y = (1/7)*x
7 = (1/7)*0
7 = 0
we end up with a false equation, so choice A is ruled out. Similar stories happen with B, C, and E as well.
With choice D however, we plug in x = 14 and y = 2, and we get...
y = (1/7)*x
2 = (1/7)*14
2 = 14/7
2 = 2
Since we get a true equation, this confirms that (14,2) is on the graph of y = (1/7)x.
Defining the wrong choice:
Therefore, "Choice D" is the correct choice.
Learn more:
brainly.com/question/15111580
