Question 148210
I'll do the first two to get you started.



# 1




{{{5y-2x+8=0}}} Start with the given equation.



{{{5y+8=0+2x}}} Add {{{2x}}} to both sides.



{{{5y=0+2x-8}}} Subtract {{{8}}} from both sides.



{{{5y=2x-8}}} Combine like terms on the right side.



{{{y=(2x-8)/(5)}}} Divide both sides by {{{5}}} to isolate {{{y}}}.



{{{y=(2/5)x-(8/5)}}} Break up the fraction.



Now the equation is in slope intercept form {{{y=mx+b}}} where the slope is {{{m=2/5}}} and the y-intercept is {{{b=8/5}}}



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# 2


Since the equation x=-9 is <font size=4><b>not</b></font> in slope intercept form, this means that the slope is undefined and there is no y-intercept (the line is parallel to the y-axis).