Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Obtain the equation in point- slope form
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 2)
m = =
=
Use either of the 2 points as the point on the line
Using (- 3, - 1), then
y - (- 1) = (x - (- 3)), that is
y + 1 = (x + 3) ← in point- slope form
Multiply all terms on both sides by 2
2y + 2 = x + 3 ( subtract 2y from both sides )
2 = x - 2y + 3 ( subtract 3 from both sides )
- 1 = x - 2y , that is
x - 2y = - 1 ← in standard form → D
Answer:
Step-by-step explanation:
we can see from the diagram,
AB is line of reflection and P' is the image of point P
now if C is the point of intersection of lines AB and PP'
then we have
PC=P'C
also AB is perpendicular to PP'
hence we have m∠ACP=90°
so we have
A reflection is a transformation that maps point P in a figure, over a line, AB, such that for point C at the intersection of AB and PP', PC=P'C and m∠ACP=90°
