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:
<em>2</em>
Step-by-step explanation:
<em>I think because I had the same kind of question and the answer was 2 </em><em>,</em>
<em>hopefu</em><em>lly</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>u</em><em /><em>☺️</em>
Answer:
9 acres remain
Step-by-step explanation:
First day:
3 acres
Second day:
5 acres were planted. 5 + 3 = 8
Third day:
4 acres were planted. 4 + 8 = 12
If 3 acres were destroyed, we just subtract!
12 - 3 = 9.
9 acres of seedlings remain.
I hope this helped! :)
Answer:
<h3>a) 5 flowers</h3><h3>b) Trapezoid</h3>
Step-by-step explanation:
For one flower, the following shapes are used;
6 yellow hexagons, 2 red trapezoids and 9 green triangles
If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60
30 = 6*5
50 = (2*5)+40
60 = (9*5)+15
We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.
Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)
Answer:
185 shrubs
Step-by-step explanation:
ratio plant : 1% = 5 : 1%
if the percent of shrubs in the garden is 37%, according to my ratio. every 1% is 5 plants, therefore, 37% = 37 x 5 = 185
