A linear relationship with a slope of 2 and a y-intercept of 3
2 answers:
Answer:
The linear relationship is represented by y = 2x + 3.
Step-by-step explanation:
We are given a y-intercept of an equation as well as a slope:
- slope = 2
- y-intercept = 3
We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:
- y = mx + b
In this formula, m is our slope and b is our y-intercept.
Therefore:
- m = 2
- b = 3
Finally, let us substitute these into the equation:
This is our final equation.
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Answer:
y = -0.2x + 8
Step-by-step explanation:
To write a linear function, calculate the rate of change of the gallon of water leaving the tank and the starting level.
The function will describe the number of gallons over time or (time, gallons).
This means the function has data points (1, 7.8) and (9, 6.2).
Use the rate of change or slope formula to calculate it.
This means that for the formula y = mx+b then m = -0.2.
This also means that after losing 0.2 gallons the first hour it was at 7.8. So the starting value is 8 gallons.
The equation is y = -0.2 x + 8.