How do you find the x and y intercept of #y = 3x – 8#?

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Answer 1 · 2017-02-27T21:25:24

Solution provided in extreme detail.

#x_("intercept")=8/3#

#y_("intercept")= -8#

#color(blue)("Determin the y intercept")#

Consider the standardised format of #y=mx+c#

#color(blue)(y_("intercept")=c = -8)#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Determine the x intercept")#

The x-intercept is when y = 0 because that is the value of y where the x-axis crosses it

Set y = 0 giving:#" "0=3x-8#

Add #color(red)(8)# to both sides

#color(green)(0color(red)(+8)" "=" "3x-8color(red)(+8))#

But #-8+8=0# giving:

#8=3x#

Divide both sides by #color(red)(3)#

#color(green)(8/(color(red)(3))=3/(color(red)(3))x)#

But #3/3=1 and 1xx x = x# giving:

#8/3=x#

Write as #color(blue)(x_("intercept")=8/3)#