Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
- The mid-point of two points is the <u>mean of the coordinates of each point</u>.
In this problem:
- The points are: A(2, -5) and B(x,y).
- The mid-point is (0, -3).
Applying the concept for both the x and y-coordinates, we have that:






The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693
Let's use the slope intercept form of a line which is:
y=mx+b where m=slope and b=y-intercept.
Mathematically m=(y2-y1)/(x2-x1) and the y-intercept is just the value of y when x is equal to zero, where the line intercepts the y axis...
First you want to find the slope by finding two clearly identifiable points on the graph...I'll pick (4,4) and (0,1), now we can calculate the slope or "m"...
m=(4-1)/(4-0)=3/4 so now we can say our line is:
y=0.75x+b, using point (4,4) we can now solve for b.
4=0.75(4)+b
4=3+b
b=1 so the line is"
y=0.75x+1