Question

1. find the coordinates of point m if s(-4, 5) is the mid - point of mp and the coordinates of p are (-8, 8).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the coordinates of $M$ be $(x,y)$ and $P(-8,1)$. The mid - point $S(-4,5)$.

Step2: Solve for x - coordinate

We know that $\frac{x+( - 8)}{2}=-4$. Multiply both sides by 2: $x - 8=-8$. Then add 8 to both sides: $x=-8 + 8=0$.

Step3: Solve for y - coordinate

We know that $\frac{y + 1}{2}=5$. Multiply both sides by 2: $y+1 = 10$. Then subtract 1 from both sides: $y=10 - 1=9$.

Answer:

$(0,9)$