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How do you find the slope and intercept of #y=3x+2#?

Answer 1

Julia Adams

#color(blue)("the slope is 3 (taken from "3x#)
#color(blue)(x_("intercept")=-2/3)#
#color(blue)(y_("intercept")=2)#

#color(blue)("the slope is 3 (taken from "3x#) '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#color(brown)(x_("Intercept")" is at y=0")#

#" "0=3x+2#

#color(brown)("Subtract 2 from both sides")#

#" "0-2=3x+2-2#

#color(brown)("But "0-2=-2" and "+2-2=0)#

#" "-2=3x#

#color(brown)("Divide both sides by 3")#

#" "-2/3= 3/3xx x#

#color(brown)("But "3/3=1" and "1xx x = x)#

#" "-2/3=x#

Write as #color(blue)(x_("intercept")=-2/3)# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#color(brown)(y_("intercept")" is at "x=0)#

#" "y=3(0)+2#

#color(brown)("but "3xx0 =0)#

#" "y=0+2#

#" "color(blue)(y_("intercept")=2)#

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Answer 2

Nathan Axel

To find the slope and intercept of the equation ( y = 3x + 2 ), we can identify the coefficient of ( x ) as the slope ( m ) and the constant term as the y-intercept ( b ).

So, the slope ( m ) is ( 3 ) and the y-intercept ( b ) is ( 2 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.