What is the equation of tha line , in general form, that passes through the point (1,1) and has a y-intercept of 2
1 answer:
The x-value at the y-intercept is 0. The y-value there is 2. As the x-value increases by 1 unit to x=1, the y-value decreases by 1 unit to y=1. Thus, the slope is -1, and the slope-intercept form of the equation can be written as
... y = -x + 2
Subtracting the right side puts the equation into general form.
... x + y - 2 = 0
You might be interested in
The expanded form of the number 0.0001 is .
<u>SOLUTION: </u>
Given that, we have to write 0.0001 in expanded form.
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression.
Now, take the given number 0.0001
As there are no other digits except 0 in front of 1 our work is simplified.
Expanded form will be
Hence, the expanded form of the number 0.0001 is .
Answer:
Step-by-step explanation:
The first line has a slope of -5/3 found using the points in the slope formula.
Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form .
Answer:
Please find a visual representation of the scenario generated with MS Excel
Step-by-step explanation:
The given data on how Kylo fills up the bathtub with water are;
The time it takes to fill the bathtub with 50 gallons of water = 15 minutes
The time it takes to drain 30 gallons from the bathtub = 5 minutes
The time it takes to add 5 gallons of hot water = 2 minutes
The time it takes for all the water to drain out = 4 minutes
The given scenario can be represented visually on the coordinate plane, as follows;
The y-axis represents the amount of water in the bathtub in gallons
The x-axis represents the time from the when Kylo begins to fill the bathtub
The coordinates of points in the visual representation of the given scenario are therefore;
At the start, the bathtub is empty;
y = 0, x = 0
Then we have;
Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario
