Question

Passing through (-6, -1) and PARALLEL 2x + 3y = 3

Answer 1

• Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.

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Answer 2

Answer:

Starting with 2x-3y=7

isolate the y variable

2x - 3y + 3y = 7 + 3y

2x = 7 + 3y

2x - 7 = 7 + 3y - 7

3y = 2x - 7

y = %282%2F3%29x+-+%287%2F3%29

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The slope of this line is 2%2F3 and a parallel line will have the SAME slope.

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Use the slope and point

y - 6 = 2%2F3(x--2)

y - 6 = %282%2F3%29x+%2B+%282%2F3%29%282%29

y = %282%2F3%29x+%2B+%284%2F3%29+%2B+6

y = %282%2F3%29x+%2B+%284%2F3%29+%2B+6%283%2F3%29

highlight_green%28y+=+%282%2F3%29x+%2B+22%2F3%29