How do you find the slope-intercept of #y = - 4x#?

Answer 1

slope #=-4#
y-intercept #=0#
(x-intercept #=0#)

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

#y=-4x# is equivalent to #y=(color(green)(-4))x+color(blue)(0)# which is the slope-intercept form with slope #(color(green)(-4))# and y-intercept #color(blue)(0)#

To determine the x-intercept, note that the x-intercept is the value of #x# when #y=0# #color(white)("XXX")y=-4x# evaluated with #y=0# #color(white)("XXX")#implies #x=0#

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Answer 2

Julia Adams

To find the slope-intercept form of the equation ( y = -4x ), identify the slope and y-intercept.

The given equation is already in slope-intercept form, where:

Slope (m) is the coefficient of ( x ), which is -4.
Y-intercept (b) is the constant term, which is 0 (since there's no constant term explicitly written).

Therefore, the slope-intercept form of the equation ( y = -4x ) is ( y = -4x + 0 ), or simply ( y = -4x ).

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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.