Find the coordinates of the point seven tenths of the way from A to B. A= (-3,-6) b= (9,5)

To find the coordinates of the point that is seven 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, seven tenths or 0.7).

First, find the difference between the x-coordinates and y-coordinates of points B and A:

B - A = (9 - (-3), 5 - (-6)) = (12, 11)

Then, multiply these differences by t:

0.7 * (12, 11) = (8.4, 7.7)

Finally, add these results to the coordinates of point A:

P = A + t(B - A) = (-3, -6) + (8.4, 7.7) = (5.4, 1.7)

So, the coordinates of the point seven tenths of the way from A to B are (5.4, 1.7).