Question

select the correct answer.
what are the coordinates of point b in the diagram?
c = (-4, 3)
d = (-1.5, 2)
b =?
(3, 3)
(11, -3)
(1, 1.8)
(29, 27)

Explanation:

Step1: Calculate the difference between \(x\) - coordinates and \(y\) - coordinates of \(C\) and \(D\)

The difference in \(x\) - coordinates: \(\Delta x=-1.5-(-4)=2.5\)
The difference in \(y\) - coordinates: \(\Delta y = 2 - 3=-1\)

Step2: Determine the number of intervals from \(D\) to \(B\)

From the diagram, there are \(5\) intervals from \(D\) to \(B\) (counting the segments).

Step3: Calculate the total change in \(x\) and \(y\) from \(D\) to \(B\)

Total change in \(x\): \(5\times2.5 = 12.5\)
Total change in \(y\): \(5\times(-1)=-5\)

Step4: Find the coordinates of \(B\)

\(x\) - coordinate of \(B\): \(-1.5+12.5 = 11\)
\(y\) - coordinate of \(B\): \(2+(-5)=-3\)

Answer:

\((11,-3)\)