1. which is a rule that describes the translation of point from (-5, 4) to (-1, 2)

Question

A (x,y) --> (x - 4, y - 2)
B (x,y) --> (x + 4, y - 2) (my answer)
C (x,y) --> (x + 4, y + 2)
D (x,y) --> (x - 4, y + 2)
2. the ordered pairs (2, -17) and (5, -35) are solutions to which of the following equations?
A y = -6x +5
B y = 6x -5 (my answer)
C y = 6x + 5
D y = -6x -5
3. the point D (x,y) is reflected over the y-axis. Use arrow notation to describe the original point and its reflection.
A (x,y) --> (-x,-y) (my answer)
B (x,y) --> (x,-y)
C (x,y) --> (-x,y)
D (x,y) --> (2x,y)

Answer 1

(1) Yes :)

(2) No, it's not B.
slope:
m = (y2 - y1) / (x2 - x1)
m = (-35 - (-17)) / (5 - 2)
m = -18 / 3
m = -6

slope-intercept form:
y - y1 = m(x - x1)
y - (-17) = -6(x - 2)
y + 17 = -6x + 12
y = -6x + 12 - 17
y = -6x - 5

(3) No, it's not A.
If the point is reflected over the y-axis, then only the sign of the x-coordinate becomes the opposite, while the y-coordinate is the same. For instance, when point (2,3) is reflected over y-axis, it becomes (-2,3)

hope this helps~ `u`

Answer 2

Ty! :)

Answer 3

You're welcome! Don't hesitate to ask if you have any more questions.