Question 281376
Start by getting the equation into slope-intercept form:  y = mx + b.
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5x -8y = -15
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subtract 5x from both sides...
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-8y = -5x -15
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divide both sides by -8
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y = -5/(-8)x - 5/(-8)
y = 5/8x + 5/8
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The y-intercept is the point where x=0.
y = 5/8(0) + 5/8
y = 5/8
(0, 5/8)
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The x-intercept is the point where y=0.
0 = 5/8x + 5/8
x = -1
(-1,0)
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Graphing is a good way to check.
{{{graph(500,500,-4,4,-4,4,5/8*x+5/8)}}}