How do you find the slope of the line 9x-5y=49x−5y=4?

1 Answer
Alan P.
Aug 29, 2015

Slope m=9/5m=95

Explanation:

Method 1: Re-write In slope-intercept form
9x-5y=49x−5y=4

rarr -5y = -9x+4→−5y=−9x+4

rarr y = 9/5x-4/5→y=95x−45
color(white)("XXX")XXXwhich is slope-intercept form
color(white)("XXX")XXXwith slope =9/5=95 and y-intercept =-4/5=−45

Method 2: Use the slope formula for a linear equation in standard form
For a linear equation in standard form:
color(white)("XXX")Ax+By=CXXXAx+By=C
the slope is given by the formula:
color(white)("XXX")m=-A/BXXXm=−AB

In this case A=9A=9 and B=-5B=−5
so color(white)("XXX")m= -9/(-5) = 9/5XXXm=−9−5=95

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