Find the coordinates of the point three tenths of the way from A to B. A= (-4,-8) b= (9,4)
Question
Find the coordinates of the point three tenths of the way from A to B.
Given points:
- A = (-4, -8)
- B = (9, 4)
Solution
To find the coordinates of the point that is three tenths of the way from point A to point B, you can use the formula for finding a point on a line segment between two points:
P = A + t(B - A)
where:
- P is the point you're trying to find,
- A and B are the given points,
- t is the fraction of the distance from A to B (in this case, t = 0.3).
First, calculate the difference between the coordinates of points B and A:
B - A = (9 - (-4), 4 - (-8)) = (13, 12)
Then, multiply these differences by t:
t(B - A) = 0.3 * (13, 12) = (3.9, 3.6)
Finally, add these results to the coordinates of point A:
P = A + t(B - A) = (-4 + 3.9, -8 + 3.6) = (-0.1, -4.4)
So, the coordinates of the point three tenths of the way from A to B are (-0.1, -4.4).
Similar Questions
Find the coordinates of the point seven tenths of the way from A to B. A= (-3,-6) b= (9,5)
If A is a point on Y-axis, whose ordinate is 4 and coordinates of point B is (-3,1), then find the distanceAB
Find the distance between each pair of points (-9, -1) and (2, 4). Round to the nearest tenth.
Plot the points in the coordinate plane. Then, find the distance between the two points.2. A( 3, 4) and B(1, 1)3. R( 4, 2) and (9, 3)
find the coordinates of the points of trisection of line segment joining the points A(2,-2) and B(-7,4)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.