Answer:
y = -2x -3
Step-by-step explanation:
The line crosses the y-axis at -3, so that is the y-intercept.
It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)
The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:
y = mx + b
For the values this line has, the equation is ...
y = -2x -3
X = 59, y = 44
2x + 18 + x - 15 = 180
3x + 3 = 180
3x = 177
x = 59
x - 15 = y
59 - 15 = y
44 = y
The equation of a line is given by the expression:
y=Mx + b
This is the slope form of an equation where M is the gradient of line and b is the y intercept.
For the slope, M= change in y values/ change is x values
(-3,8) , (-7,8) thus the slope m,=(8-8)/(-7--3)
m=0/-4 =0
the slope is 0
To find the b substitute the values in the equation y=Mx+b
Taking point (-3,8) and slope of 0
y=Mx+b
8=0*(-3) + b
8=0+b
8=b
The value of b is 8
The equation of the line will be;



The equation of the line is y=8
Answer:
24
Step-by-step explanation:
Factorial is applicable only for natural numbers and 0.
0! =1 trivially.
FOr other numbers, factorial is defined as 1x2x...n
For example 1! = 1
2! = 1x2 = 2
and so on.
i.e. n! = product of all natural numbers from 1 to n
= 1x2x....n
Using the above
we have n =4
Natural numbers from 1 to 4 are 1,2,3,4
Find the product of these 4 natural numbers to get 4!
4! = 1x2x3x4 = 24
The composition of a function and its inverse is always <u>x</u>.
I hope this helps! :D