Answer:
A. x + y = 5
Step-by-step explanation:
The slope of the equation is equal for parallel lines,
; Slope = (-1)
;Use the formula
(y - y(coordinate of the given point)) = slope × [(x - x(coordinate of the given point)]
; y - 1 = (-1)(x - 4)
; y - 1 = -x + 4...then move the variable (x) to the left hand side and then move (-1) to the right hand side
; x + y = 4 + 1
; Hence,
; x + y = 5
Answer: -1 and 1
Step-by-step explanation:
Let the first integer be x and the second x +2 , clearly, the larger is x + 2.
From the statement given
x + 2 = 3x + 4
x - 3x = 4 - 2
-2x = 2
x = -1
The second integer is -1 + 2 = 1
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is 
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
25 is the length of x, using the 30-60-90 special triangle method