Read the word problem below. Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours
1 answer:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope
. Plug this into
:
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!
Answer:
Option D.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
case A) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation A not represent a proportional relationship
case B) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation B not represent a proportional relationship
case C) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation C not represent a proportional relationship
case D) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line passes through the origin
therefore
The equation D represent a proportional relationship