Answer:
Attachment is correct graph.
Step-by-step explanation:
We are given a equation of line y=|x|
It is absolute function which gives always positive value.
It's vertex at (0,0). This function will break at (0,0)
It is linear equality.
So, function is break at point x=0
Now we make tale of x and y
x y
-3 3
-2 2
-1 1
0 0
1 1
2 2
3 3
Now we plot the point on graph and join the points to get graph.
Please see the attachment for correct graph.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
3
Using (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 6)
m = =
= - 2
Since the line passes through the origin (0, 0) then y- intercept is 0
y = - 2x ← equation of line
4
let (x₁, y₁ ) = (6, 0) and (x₂, y₂ ) = (0, 3)
m = =
= -
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - x + 3 ← equation of line
5
let (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (-2, - 3)
m = =
= 3
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line