Answer:
The equation of the line would be y = 3/2x + b, in which b can be any real number.
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2
Now that we have a slope of 3/2, we know that any line that is parallel to that would have this slope. So anything written in the form:
y = 3/2x + b
The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
We have been given a parallel line with has equation
3x-2y=7
In order to solve this, the slope of the original line.
3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2
thus its slope is 3/2.
thus, the slope of the needed line is 3/2 too.
we know that any line that is parallel to that would have this slope.
So anything is written in the form:
y = 3/2x + b
The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
Learn more about parallel lines here:
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