The answer is No it is not
Answer:
- Slope: -2
- equation: y = -2x +5
Step-by-step explanation:
The given point is the y-intercept of the line, so the slope-intercept form of the equation of a line can be used:
y = mx + b . . . . for slope m and y-intercept b
Here, you have the slope given as ...
m = -2
y-intercept = 5
so the equation of the line is ...
y = -2x +5
_____
The y-intercept is the value of y when x=0. The point (x, y) = (0, 5) tells you the y-intercept is 5.
1) -2 -6
2) -2 -y
3) -2 -6 + -y
4) -2 -6 -y
Annual rent=$10,800
Annual Expenses=$8,400
Rate of income=moneyt
A good place to start is to set
to y. That would mean we are looking for
to be an integer. Clearly,
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since
is a radical, it only outputs values from
, which means y is on the closed interval:
.
With that, we don't really have to consider y anymore, since we know the interval that
is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval
, which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.