How do you find the slope given (0,5) and (5/2,0)?

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Answer 1 · 2016-07-14T15:06:48

The slope equals #m =-1/2#

Slope which is the change in #x# versus the change in #y#.

Slope is identified by the letter #m#

#m = (Deltay)/(Deltax)#

#m=(y_2-y_1)/(x_2-x_1)#

The y-intercept #(0,5)# and x-intercept #(5/2,-0)#

#x_1=0#
#y_1=5#
#x_2=5/2#
#y_2=0#

#m = (0-5/2)/(5-0)#

#m = (-5/2)/(5)#

To simplify multiply by the reciprocal of the denominator

#m = -cancel5/2 * 1/cancel5#

The slope equals #m =-1/2#