Answer:
The triangles are congruent because:
- QP = ST
- angle P = angle T
- the side PT is in both triangles
We know when 2 sides of two triangles and the angle between them is congruent, the triangles are congruent.
Just add the displacement value to variable. If this value is positive, the graph will move to the right, otherwise it will shift to left.
Where: x=displacement value
If you notice any mistake in my English, please let me know, because I am not native.
(d): y = mx+n
m = -2/3 ⇒ y = (-2/3)x +n
A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒
⇒ n = 6 - 8/3 ⇒ n = 10/3
Now, we have:
y = (-2/3)x +10/3
False. If x=-3 and y=-6 and you substitute them into the equation they do not add up