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:
Step-by-step explanation:
82.1 = 82 1/10 (thats 82 and 1/10) or 821/10 (if you dont want a mixed number)
7.3 = 7 3/10 or 73/10
9.3 = 9 3/10 or 93/10
if there is 1 number to the right of the decimal, put that number over 10....not the whole number, just the number to the right of the decimal. Leave the number to the left of the decimal alone.
if there were 2 numbers to the right of the decimal, then put those two numbers over 100.
example :
3.43 = 3 43/100
2.76 = 2 76/100
if there were 3 numbers to the right of the decimal, put those 3 numbers over 1000
example :
2.347 = 2 347/1000
3.679 = 3 679/1000
you understand ?
She has 75mins to make braclets and it takes her 6mins to make one so 75 divided by 5 is your answer and if the answer is not a whole number round down
Answer:
The answer is d.
Step-by-step explanation:
<em>x </em>is "a number." When a variable and a number are next to each other, they are being multiplied. So it's 7 times a number. Then you take the product of that and add 2.
So, d is the correct answer. :D
Answer:
the answer will be 6 or 10
