Answer:
slope of M'N' = 1
Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)
For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)
Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1
Hope this helps :)
Answer:
x=1
Step-by-step explanation:
the line is one unit up from the x axis
Answer:
The slope is -2.
Step-by-step explanation:
Following the line starting at the x intercept, move down 2 over right 1.
I'm not gonna use point-slope form but I will tell you the equation in slope-intersect form. Perpendicular means that the slopes of the 2 equations have to be opposite reciprocals. That means if one is 2, the other slope has to be -1/2. Since the slope is 3, the slope of the equation you are making is -1/3. using desmos.com, I found out that the y-intercept has to be -1, so the equation is y=-1/3x-1
Okay so the two equations are (b-book d-dvd)
d-4=b
and 3d+b=28
so to solve this if we know that a dvd costs £4 more than a book and we have 3 of them then if we take 3 lots of 4 away from the 28 then we will have an amount equal to 4 books
so 28-12=14
14/4= £3.50
if 1 book is £3.50 then a dvd is £7.50 as it is £4 more
