How do you find the slope and intercept of #f(x) = 10x-7#?

2 Answers
Alan P.
Jul 6, 2016

Slope: #10#
#f(x)#-intercept: #(-7)#
#color(white)("XXX")x#-intercept: #7/10# (this may/may not) have been required)

Explanation:

The general slope-intercept form for a linear equation is
#color(white)("XXX")f(x)=color(green)(m)x+color(blue)(b)#
with slope #color(green)(m)# and #f(x)#-intercept #color(blue)(b)#

The given equation
#color(white)("XXX")f(x)=color(green)(10)xcolor(blue)(-7)#
is in this form with slope #color(green)(10)# and #f(x)#-intercept #color(blue)(""(-7))#

If the #x#-intercept is required:
the #x#-intercept is the value of #x# when #f(x)=0#
#color(white)("XXX")0=10x-7#
#color(white)("XXX")rarr 10x=7#
#color(white)("XXX")rarr x=7/10#

EZ as pi
Jul 6, 2016

slope #=10# and the y-intercept = #-7#
The x-intercept is #7/10#

Explanation:

Remember that #f(x)# is the same as #y#.

#y = 10x-7#

This equation is therefore already in the form #y = mx + c#

The slope is 10 (the numerical coefficient of x) and the y-intercept is -7 (c)

To find the x-intercept, make y = 0 and solve for x

#10x = 7#
#x= 7/10#

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