Slope = change in Y over the change in x:
Slope = (3-1) / (3- -3)
Slope = 2 / 6
Slope = 1/3
The ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)
The midpoint (a, b) between two linear points
and
is calculated as:

On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7).

Substitute these values into the mid-point formulae


The ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)
Learn more on the midpoint of a line here: brainly.com/question/18315903
To find the gradient of the perpendicular line, we know that we must do the negative inverse of the current line's gradient
-6x from the old line will now be 1/6x
we are given points on that line and we therefore use the points and the new gradient to find the equation of the line using this formula
y-y1=m(x-x1) where m is the gradient
input the values that we have
y-5=1/6(x--4)
rearrange
y-5=1/6(x+4)
y-5=1/6x+4/6
6y-30=x+4
6y=x+34
y=1/6x+34/6
y=1/6x+17/3
Answer:
y=5x+10 or y=25 (i'm not sure what they're asking)