Give the equation of a line that goes through the point (5,7) and is parallel to the line 2x+3y=-9

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11-10-2021
Mathematics

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Give the equation of a line that goes through the point (5,7) and is parallel to the line 2x+3y=-9

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samanthap84 samanthap84 · Answer 1 · 2021-10-11T05:06:04+02:00

samanthap84 samanthap84

11-10-2021

• Rearrange in slope intercept form
3y = (-2x - 9) ➗ 3
y = -2/3x - 3

• Write parallel slope (same slope)
m = -2/3

• Replace x and y value in the equation
7 = -2/3(5) + b
7 = -10/3 + b
7 + 10/3 = b
B = 31/3

• write full equation
Y = -2/3 + 31/3

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