What is the slope of any line parallel to the line \(2x - 3y = 7\)?
Answer (3)
the slope of paralel lines are the same.
therefore to find the slope of a paralel line to 2x −3y = 7, you need to find the slope of this line :)
to do that, we just need to change this into the line equation format, which is y = mx + b (y is the y point, x is the x point, m is the slope, and b is the y intercept)
2x - 3y = 7
7 = 2x - 3y
7+ 3y = 2x
3y = 2x - 7
y = (2/3)x - (7/3)
so the slope is 2/3
any paralel line will have an equation of y = (2/3)x + b
Slope means which represents the steepness of a line and the slope of any line parallel to the line 2 x − 3 y = 7 is 3 2 .
What is the slope of the line?
The slope is used to describe the steepness and direction of lines.
Here the given lines are
2 x − 3 y = 7
Rearrange the equation into the form y = m x + c where m is the slope and c is the y-intercept.
y = m x + c − 3 y = − 2 x + 7 − ( − 3 y ) = − ( − 2 x + 7 ) 3 y = 2 x − 7 y = 3 2 x − 3 7
The slope of the equation is
m = 3 2
Hence, the slope of any line parallel to the line 2 x − 3 y = 7 is 3 2 .
To know more about slope
#SPJ2
The slope of any line parallel to the line represented by the equation 2 x − 3 y = 7 is 3 2 . This is because parallel lines have equal slopes. Therefore, the slope remains constant at 3 2 for any parallel line.
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