Respuesta :
Here, Equation: 2x + 3y = 6
3y = -2x + 6
Divide both sides by 3,
y = -2/3x + 2
Here, Slope = -2/3 and it would be same for that line which is parallel to it.
So, y - 3 = -2/3 (x + 2)
y - 3 = -2x/3 - 4/3
y = -2x/3 + 5/3
In short, Your Answer would be Option B
Hope this helps!
3y = -2x + 6
Divide both sides by 3,
y = -2/3x + 2
Here, Slope = -2/3 and it would be same for that line which is parallel to it.
So, y - 3 = -2/3 (x + 2)
y - 3 = -2x/3 - 4/3
y = -2x/3 + 5/3
In short, Your Answer would be Option B
Hope this helps!
The equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6 would be y = -2x/3 + 5/3.
How are parallel straight lines related?
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.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
We have been given an equation
Equation: 2x + 3y = 6
3y = -2x + 6
Divide both sides by 3,
y = -2/3x + 2
Here, The Slope = -2/3
The slope would be the same for that line that is parallel to it.
So, y - 3 = -2/3 (x + 2)
y - 3 = -2x/3 - 4/3
y = -2x/3 + 5/3
Hence, The Answer would be Option B.
Learn more about parallel lines here:
https://brainly.com/question/13857011
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