Answer:
y = 0x - 2/3
Step-by-step explanation:
We are asked to find the equation of the line
Step1: find the slope
( 0 , -2/3) ( 3 , -2/3)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 0
y_1 = -2/3
x_2 = 3
y_2 = -2/3
Insert the values into the equation
m =( -2/3 - (-2/3) / (3 - 0)
= -2/3 + 2/3 / 3
= 0 / 3
m = 0
Step 2: sub m into the equation
y = mx + c
y = 0x + c
Step 3: sub any of the two points given into the eqn
y = 0x + c
Let's pick ( 3 , -2/3)
x = 3
y = -2/3
-2/3 = 0(3) + c
-2/3 = 0 + c
c = -2/3
Step4: sub c into the equation
y = mx + c
y = 0x + c
y = 0x - 2/3
Therefore, the equation of the line is
y = 0x - 2/3
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Step-by-step explanation:
Let,
x represents the number of points for a goal.
y represents the number of points for a penalty.
Therefore,
6 goals = 6x
3 penalties = 3y
8 goals = 8x
9 penalties = 9y
According to given statment;
6x+3y=6 Eqn 1
8x+9y= -22 Eqn 2
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Keywords: linear equation, variables
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Answer:
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
The relation is not a function.
Step-by-step explanation:
Given the relation: t{(−1,0),(7,0),(−1,9),(−6,−9)}
In the ordered pairs:
- The domain is the set of all "x" values
- The range is set of all "y" values
- We do not need to list any repeated value in the range/domain more than once.
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
Next, we determine whether the relation is a function.
For a relation to be a function, each x must correspond with only one y value.
However, as is observed in the mapping attached below:
The x-value (-1) corresponds to two y-values (0 and 9)
Therefore, the relation is not a function.
Use the formula an=a1+d(n−1)an=a1+dn-1 to identify the arithmetic sequence.
an=−4108400332687849998n+8216800665375699998
Answer:
y - 3 = 6(x + 8)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
When you fill in the given values, you get ...
y -3 = 6(x -(-8))
and that simplifies to
y -3 = 6(x +8)