Question 685701
-3x+5y=-5
Three Steps
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Step One: solve for y
5y = 3x - 5  ==> divide both sides by 5
y = {{{(3/5)x - 1}}}
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Step Two: Find intercepts (these will provide two line coordinates, which you can draw a line through for the graph)
y intercept
Comparing to the y=mx+b (slope intercept) format, the y intercept is -1; 
therefore, plot (0, - 1)
x intercept
Set the equation equal to 0 (or the y value as zero) and solve for x
0 = {{{(3/5)x - 1}}}
1 = {{{3/5}}}x
x={{{5/3}}}
therefore, plot ({{{5/3}}}, 0)
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Step Three:  Find more line coordinates
Choose any value for x and then solve for y, these are additional line coordinates.
If you choose x = 5
y = {{{(3/5)(5) - 1 = 2}}}
plot (5, 2)
If you choose x = -1
y = {{{(3/5)(-1) - 1 = (-3/5) - 1 = (-3/5) - 1(5/5) = -8/5}}}
plot (-1, {{{-8/5}}})
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