SOLUTION: parallel to the line 3x+5y eqauls 8 and passing through the point-2,10

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Question 519704: parallel to the line 3x+5y eqauls 8 and passing through the point-2,10

Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
3x +5y = 8
.
Get into slope-intercept form.
.
5y = -3x +8
y = -3/5x +8/5
.
The line parallel to this line will have slope = -3/5.
.
y = -3/5x + b
.
Use the point you want to go through to find 'b'
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10 = -3/5*(-2) + b
10 = 6/5 + b
10 -6/5 = b
b = 50/5 - 6/5 = 44/5
.
y = -3/5x +44/5
.
In the following graph:
y = -3/5x +8/5 is red
y = -3/5x +44/5 is green
.


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