How do you find the slope of #y=7/5x-2#?

1 Answer
Oct 15, 2015

Answer:

Slope: #7/5#

Explanation:

The slope-intercept form of a linear equation is
#color(white)("XXX")y=color(red)(m)x+color(blue)(b)#
#color(white)("XXXXXX")#where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept.

#y= 7/5x-2 iff y=color(red)(7/5)x+color(blue)((-2))#

#color(white)("XXX")#is in this form

#rarr # slope #= color(red)(7/5)#

Alternative (if you don't know or are told not to use the slope-intercept form)

Slope #= m = (Delta y)/(Delta x)#

Pick two values for which #y=7/5x-2# is easy to calculate
(e.g. #x=0# and #x=5#) to get

Slope #= m = (y_(x=5) - y_(x=0))/(5-0)#

#color(white)("XXXXXXX")=(5-(-2))/5 = 7/5#