The equation of the line that is parallel to the given line and passes through the point (-2,2) is:
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:
m = (-3 - (-4))/(0 - (-5)) = 1/5.
Hence the equation is:
When x = -2, y = 2, then:
Hence:
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The rise is 2 and the run is 3
Answer:
Step-by-step explanation:
First we have to assume the smallest integer.
Let,
the smallest integer is x
So, the other two integers are-
x+1 and x+2
Now,
the sum of these 3 integers is greater than smallest integer by 11
So, we get
x+(x+1)+(x+2) =x+11
This is the required equation.
Answer:
The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.
Step-by-step explanation:
Let us divide the equation into 2 parts.
Hanks
Hank paid $2000 up front when he bought the car and he pays $200 every month. Therefore, the total amount paid (y) and the number of month (x)can be expressed as follows.
Let
x = number of month
y = total amount paid
y = 2000 + 200x
The relationship between amount paid and the number of months is proportional
Lynn
She did not paid anything upfront but she paid $275 every month. Therefore,
x = number of month
y = total amount paid
y = 275x
This relationship between amount paid and number of month is directly proportional
