The following table represents a linear function. What is the slope?
2 answers:
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Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is
It is filled with of the height
Water present in the container
Also,
Now, half of the water is poured out
So, half is left
Thus, 9 L of water is left in the container
Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
- y = mx + b
- where m = slope and b = y-intercept
To find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
- Slope formula:
Plug the two points into the formula.
Subtract and simplify this fraction.
The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
- y = 2/3x + 4
The equation of the line is y = 2/3x + 4.