Order these three values from least, middle, and greatest.
1 answer:
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<em><u>Question:</u></em>
What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21
<em><u>Answer:</u></em>
<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>
<em><u>Solution:</u></em>
Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------- eqn 1
Where, "m" is the slope and "c" is the y intercept
<em><u>Given equation is:</u></em>
4x - 3y = 21
Rearrange,
3y = 4x - 21
On comparing above equation with eqn 1,
We know that slopes of parallel lines are same
Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3
<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>
<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>
Thus the equation of line is found
Answer:
The option that no represent a linear function is
Step-by-step explanation:
we know that
The graph of a linear function is a straight line
The equation of a linear function in slope intercept form is equal to
where
m is the slope
b is the y-intercept
<u><em>Verify each case</em></u>
option 1) we have
This option represent a linear function
where
m=3
b=-2
option 2) we have
This option represent a linear function
where
m=1
b=0
This option represent a linear direct variation function
option 3) we have
This option not represent a linear function
This option represent a exponential function
option 4) we have
This option represent a linear function
where
m=3
b=0
This option represent a linear direct variation function