Question

NEED HELP QUICK!!

A rectangle is graphed on the coordinate grid.

On a coordinate plane, side p has points (1, 4) and (3, 6), side q has points (3, 6) and (6, 3), side r has points (4, 1) and (6, 3), and side s has points (4, 1) and (1, 4).

Which represents the equation of the side that is parallel to side s?
y = negative x + 9
y = negative x minus 3
y = x + 9
y = x minus 3

Answer 1

a

Explanation:

Answer 2

Y = negative x + 9

Explanation:

Find the equation of the line for side S-

m= 4-1/1-4 = 3/-3 = -1

The Gradient is -1

Since parallel lines share the same gradient, it should be either of the first two options.

We can see side Q shares the same gradient: 3-6/6-3= -1

Find the equation of the line of side Q-

y-y1= m(x-x1)

y-6= -1(x-3)

y-6=-x+3

y= -x+9