Question

On a coordinate plane, Johnny's home is at (-6, 8) and his school is at (12, -20). He is going to meet his buddy, Josehalfway between his home and school. What are thecoordinates as to where they will be meeting? Draw thepicture.

Answer 1

Johnny and Jose will meet at the coordinates (3, -6), which is the midpoint between Johnny's home at (-6, 8) and his school at (12, -20).

Step-by-step explanation:

To find the coordinate where Johnny will meet his buddy Jose halfway between his home and his school, we first need to find the midpoint of the segment that connects the two points (-6, 8) and (12, -20). The midpoint formula is given by ((x1 + x2) / 2, (y1 + y2) / 2). Applying the formula, we get:

((-6 + 12) / 2, (8 + (-20)) / 2) = ((6) / 2, (-12) / 2) = (3, -6).

Therefore, the coordinates where Johnny and Jose will meet arep 3 -6).

To draw the picture, you would plot the points (-6, 8) and (12, -20) on a coordinate plane and then draw a line segment connecting them. The midpoint, or the meeting point, would then be marked on this line segment exactly halfway between the two points.