SOLUTION: Write an equation, in standard form, of a line that is parallel to the line -5x+7y=21 has the same y-intercept as the line -3x-8y=14. Include operators. Please help.

Question 1057208: Write an equation, in standard form, of a line that is parallel to the line -5x+7y=21 has the same y-intercept as the line -3x-8y=14. Include operators.
Please help.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Same problem, different numbers, except parallel lines have the same slope.
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Write an equation, in standard form, of a line that is perpendicular to the line 2(x-3)=-y+5 has the same y-intercept as the line 3x-2y=-7.
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Find the slope and y-int of 2(x-3)=-y+5
2x-6 = -y+5
y = -2x + 11
Slope m = -2
The slope of lines perpendicular is the negative inverse, = +1/2
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3x-2y=-7
Find the y-int
Solve for y.
y = (3/2)x + 7/2
y-int, b = 7/2
y = mx + b
y = (1/2)x + 7/2
2y = x + 7
x - 2y = -7
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