The coordinates of point p on a coordinate grid are (−5, −6). point p is reflected across the y-axis to obtain point q and across the x-axis to obtain point r. what are the coordinates of points q and r?

a. q(5, 6) and r(−5, −6)
b. q(−5, −6) and r(5, 6)
c. q(−5, 6) and r(5, −6)
d. q(5, −6) and r(−5, 6)

D. Q(5, −6) and R(−5, 6)

Step-by-step explanation:

We know that if point (x,y) reflected across y axis then the y coordinate remain same but the polarity of x gets change (x become negative).

Similarly if point (x,y) reflected across x axis then the x coordinate remain same but the polarity of y gets change (x become negative).

Given : P=(-5,-6)

Point P is reflected across the y-axis to obtain point Q , thus

And  point P is reflected across the x-axis to obtain point R, thus

⇒ Q=(5,-6) and R=(-5,6)

b

step-by-step explanation:

the equation of a line in point- slope form is

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 ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b