Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why
1 answer:
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Answer:
D
Step-by-step explanation:
We will use the 2 coordinates marked on the graph as the reference.
The coordinates are:
A(4,-2)
B(0,3)
We know that the standard form for equation of line is:
y = mx+c
where m is the slope of the equation
and c is the y-intercept.
Very clearly, the y-intercept is where the line intercepts the y line.
and in this case, y-intercept = c = 3.
Now we know that the equation of line is now
y = mx + 3
To find m, the slope, we can use the 2 above coordinates.
slope of line =
(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)
Equation of line:
Therefore the answer is D.
