N the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
y=mx+b
Where m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1
y−2x=1
rewrite in slope-intercept form
y=2x+1
y=2x+1
Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
picture23
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)
picture24
And once you have your second point you can just draw a line through the two points and extend it in both directions.
picture25
You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.
Our second point = (1, 3)
y−2x=1
y−2x=1
3−2⋅1=3−2=1
3−2⋅1=3−2=1
Our second point is a solution to the equation i.e. the line we drew is correct.
A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.
y=mx
y=mx
In a direct variation the nonzero number m is called the constant of variation.
You can name a function, f by using the function notion
f(x)=mx+b
f(x)=mx+b
f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.
A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.
The most basic function in a family of functions is called the parent function. The parent function of all linear functions is
f(x)=x
Answer:
V=5.333cubit unit
Step-by-step explanation:
this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1
The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z
The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below
V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION:
You never told us how much money he has
Answer:
And using the z score given by:
Where:
If we find the z score for 
we got:
So we want to find this probability:
And using the complement rule and the normal standard distribution and excel we got:
Step-by-step explanation:
For this case we have the proportion of interest given 
. And we have a sample size selected n = 474
The distribution of 
is given by:
We want to find this probability:
And using the z score given by:
Where:
If we find the z score for we got:
So we want to find this probability:
And using the complement rule and the normal standard distribution and excel we got:
Answer:
92
Step-by-step explanation:
20% of 460 is 92 so it would be 92
