<h3>
Answer is -3</h3>
How I got that answer:
The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.
m = (y2 - y1)/(x2 - x1)
m = (2 - (-4))/(-2-0)
m = (2 + 4)/(-2-0)
m = 6/(-2)
m = -3
A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.
Here, Coordinates are: (35, 600) & (47, 800)
Now, Slope (m) = y2 - y1 / x2 - x1
m = 800 - 600 / 47 - 35
m = 200 / 12 = 100 / 6
m = 50/3
Take any one coordinate into slope-intercept formula:
y - y1 = m(x - x1)
y - 600 = 50/3 (x - 35)
y - 600 = 50x/3 - 1750/3
y = 50x/3 + 50/3
In short, Your Answer would be: y = 50x/3 + 50/3
Hope this helps!
Let y and z be the no. of students that walk to school, that takes the subway and that takes the bus
We have,
3/y = 1/2
=> y = 6 --- (1)
and,
y/z = 1/3
=> y/z = 1/3 [from (1)]
=> z = 18
Hence the no. of students that takes the bus are 18 students
Answer: A. (-2,8)
Step-by-step explanation:
We know that the rule for rotation of
is given by :-
, where (x,y) is the point of pre-image and (-y,x) is a point of image.
The given point of pre-image : A(8,2)
Then after rotation of
, we have the image point as :-

Hence, the image point of A(8,2) is (-2,8) .