Answer:
The correct option is A.
Step-by-step explanation:
The first line passing through the points (-6,2) and (-6,0).
The slope of a line is

The slope of first line is

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is

Since the slope of a vertical line is infinity, Therefore option A is correct.
Translation rule (x, y)--->(x + 4, y - 10)
Object A = (5, 6)
Apply rule:
(5, 6)---->(5 + 4, 6 - 10) = (9, -4)
Image A' = (9, -4)
Option 3: (9, -4) is the answer
For number one
S: supplement.
R: angle1+angle8 =18
#2
S: supplement
R: angle 3+ angle 6=180
If the equation is -(2/3) x - (1/4) y = 1/3, it is a straight line, so you can use some special points to identify the graph.
It is easier is you solve the equation for y:
(1/4)y = - 1/3 - (2/3) x
y = (-4/3) - (8/3)x
That is the slope -y-intercept form of the equation.
That means that the slope is -8/3, and the y-intercept is -4/3.
Use this points to identify the graph:
x = 0 => y = - 4/3 ---> (0, - 4/3)
y = 0 => x = - 1/2 -----> (-1/2, 0)
Now you can punt those two points on the graph and draw the line that joins them.
With this procedure you can find the graph of any straight line.
Point is the image of (3,4) if it is reflected over the y axis is <span>(-3,4)
answer
</span><span>C. (-3,4)</span>