Answer:
1/2
Step-by-step explanation:
We do change in y over change in x
<u>Formula for Rate of Change on Slope</u>
y2-y1/x2-x1
<u>For Y</u>
We use coordinate (-2, -4)
-4--2
= -2 - -4
= 2
<u>For X</u>
We use coordinate (0, -4)
0 -- 4
= 0 + 4
= 4
Now we put y over x to find the rate of change in slope
2/4, simplified would be 1/2
Answer:
(4,-2)
Step-by-step explanation:
If we are reflecting a point across the y-axis, that point must be on the same horizontal line that the pre-mage is was, this means the y coordinate must remain the same. Now we want the points on both sides of the y-axis to have the same distance. x and -x have the same distance from 0. This means you will need to take the opposite of x.
So a point (x,y) being reflected over the y-axis will give (-x,y).
( x , y)->(-x,y) means we have:
(-4,-2 )->(4,-2)
You can graph this to confirm it looks like a reflection through the y-axis.
Answer:

Step-by-step explanation:
step 1
Find the slope of the line that is perpendicular to the given line
we have
-----> given line
The slope of the given line is

Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal
therefore
The slope of the line that is perpendicular to the given line is

step 2
Find the equation of the line in slope intercept form

we have

substitute

solve for b

therefore

Answer:
Median.
Step-by-step explanation:
Assuming the teacher is not of similar age to the students, their higher age would pull the mean higher than if the teacher were not included, where the median would not be pulled by this extreme value.
To find the x int, we will sub in 0 for y and solve for x...um...r
- 2r + 1/2y = 18
-2r + 1/2(0) = 18
-2r = 18
r = -18/2
r = -9
so the x int is (-9,0)