The slope of the line passing through the points (7, 5) and (21, 15) is
.
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point
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1
Answer:
1) 5/7
2) (21, 5)
Step-by-step explanation:
1) The slope of the line passing through the points (7, 5) and (21, 15) is
because slope is (difference of y)/(difference of x)
the first option is correct
2) 1/3 of 5/7 is 5/21.
The line will be in the form of
y = 5/21 x + b where b is the y-intercept.
Find the complete equation by plugging in (0,0) since it passes thorugh the origin.
0 = 5/21 (0) +b
0=0+b
b=0
The equation: y=5/21 x
let's check each option by plugging in.
y= 5/21 (3)= 5/7
y is not 5 but 5/7
y= 5/21 (3)= 5/7
y is not 7 but 5/7
y= 5/21 (21) = 5
y is 5, which matches with the answer choice!!!
y= 5/21 (21) = 5
y is 5, not 7.
The third option is correct
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