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Fill in the blanks with integers, and select the correct operator ( + or  -), to give an equation whose graph is the line that passes through the point (-7, 2) and is parallel to the graph of 2x+3y = -5.

__x ? __y = __
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 Jun 30, 2023
 #1
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The slope of the line 2x+3y = -5 is 2/3. So, the equation of our parallel line will be of the form y = (2/3)x + b, where b is the y-intercept.

We know that the line passes through the point (-7, 2), so we can plug these values into the equation to solve for b. This gives us:

2 = (2/3)(-7) + b 2 = -14/3 + b 2 + 14/3 = b = 10/3

Therefore, the equation of the parallel line is y = (2/3)x + (10/3). Filling in the blanks, we get:

2x ? + y = 10

The answer is 2x + y = 10.

 Jun 30, 2023
 #3
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Thanks, that's right!

Guest Jul 6, 2023
 #2
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The slope of the line 2x+3y = -5 is -2/3. Since the parallel line has the same slope, the equation of the parallel line will be of the form 2x - 3y = b.

We know that the parallel line passes through the point (-7, 2), so we can plug these values into the equation to solve for b. This gives us:

2 * -7 - 3 * 2 = b -14 - 6 = b -20 = b

Therefore, the equation of the parallel line is 2x - 3y = -20.

The operator that should be used is -.

 Jun 30, 2023

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