Commutative property allows you to change the order of the terms when adding or multiplying without changing the outcome.
3 + 6 ( 4 + 3 ) is the answer
The linear equation that describes the data is f(x) = 2x - 4
Step-by-step explanation:
The form of the linear equation is y = mx + b, where
- m is the slope of the line which represents the equation
- b is the y-intercept (y at x = 0)
The formula of the slope is
,
where
and
are 2 points on the line
The table:
→ x : 3 , 5 , 6 , 9
→ f(x) : 2 , 6 , 8 , 14
To find the equation use any two points from the table above
∵ f(x) = y
∵
= (3 , 2)
∵
= (5 , 6)
- Use the formula of the slope to find m
∵ 
∴ m = 2
Substitute the value of m in the form of the equation below
∵ y = mx + b
∴ y = 2x + b
To find b substitute x and y in the equation by the coordinates of any point from the table above
∵ x = 6 and y = 8
∴ 8 = 2(6) + b
∴ 8 = 12 + b
- Subtract 12 from both sides
∴ -4 = b
- Substitute the value of b in the equation
∴ y = 2x + (-4)
∴ y = 2x - 4
∴ f(x) = 2x - 4
The linear equation that describes the data is f(x) = 2x - 4
Learn more:
You can learn more about the linear equation in brainly.com/question/9801816
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Answer:
10 seconds ago The graph represents Jason's weight loss over 5 months. ... 49 seconds ago Lina and Michael studied the data in the table. They each wrote an equation to represent the relationship between the number of miles and the numbers. of hours ridden by each bicyclist. Data : Miles, m ; Hours, ...
1 answer
Step-by-step explanation:
(0,0) and (4,1)
Find the slope: m = (y2-y1)/(x2-x1) = (1-0)/(4-0) = 1/4
Input m, x1, and y1 into the Point-Slope equation:
y - y1 = m(x - x1)
y - 0 = 1/4 (x - 0)
y = 1/4 x