What is the equation of a line that is parallel to y=2/3x-7 and passes through (12,2)?
2 answers:
Answer:
<h2>The answer is option A</h2>Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
From the question the original line is
y = 2/3x - 7
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
So the equation of the line using point
(12 , 2 ) and slope 2/3 is
We have the final answer as
Hope this helps you
You might be interested in
Answer:
<em>B)</em><em> 8.9 lbs </em>
<em>C)</em><em> 9.5 lbs </em>
<em>D)</em><em> 9.8 lbs </em>
<em>E)</em><em> 10.4 lbs</em>
Step-by-step explanation:
From the graph, 9.5 is the mean of the sample and 0.5 is the standard deviation of the sample.
As we have to find the weights that lie within the 2 standard deviations of the mean i.e
Among the given weights only 8.9 lbs, 9.5 lbs, 9.8 lbs, 10.4 lbs will lie within 2 standard deviations of the mean.
The equation of the line is
Explanation:
The equation of the line is perpendicular to
The equation is of the form where m=-14
<u>Slope:</u>
The slope of the perpendicular line can be determined using the formula,
Thus, the slope of the line is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the slope and the point (2,-4), we get,
Simplifying, we get,
Thus, the equation of the line is