Find the Y-Intercept 5x+8y+40=0

Math
5x+8y+40=0
Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Move all terms not containing y to the right side of the equation.
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Subtract 5x from both sides of the equation.
8y+40=-5x
Subtract 40 from both sides of the equation.
8y=-5x-40
8y=-5x-40
Divide each term by 8 and simplify.
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Divide each term in 8y=-5x-40 by 8.
8y8=-5×8+-408
Cancel the common factor of 8.
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Cancel the common factor.
8y8=-5×8+-408
Divide y by 1.
y=-5×8+-408
y=-5×8+-408
Simplify each term.
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Move the negative in front of the fraction.
y=-(5)x8+-408
Divide -40 by 8.
y=-5×8-5
y=-5×8-5
y=-5×8-5
Rewrite in slope-intercept form.
y=-58x-5
y=-58x-5
Using the slope-intercept form, the y-intercept is -5.
b=-5
Find the Y-Intercept 5x+8y+40=0

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