What is the y intercept for a line with point (6.-6) slope -7/3?

Answer 1

The y-intercept is #8#.

#y=mx+b# is the slope-intercept form for a linear equation, where #m# is the slope and #b# is the y-intercept.
#x=6,# #y=-6#
Substitute the known values for #x# and #y#, and solve for #b#.
#-6=-7/3*6+b=#
#-6=-42/3+b#
Simplify #-42/3# to #-14#.
#-6=-14+b#
Add #14# to both sides of the equation.
#14-6=b#
#8=b#

Switch sides.

#b=8#
The y-intercept is #8#.
The following graph has the slope-intercept equation #y=-7/3x+8#

graph{y=-7/3x+8 [-19.96, 20.04, -4.39, 15.61]}

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Answer 2

To find the y-intercept, use the slope-intercept form of a line equation, y = mx + b, where m is the slope and b is the y-intercept. Substitute the given slope and a point (6, -6) into the equation and solve for b.

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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.

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.

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.

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.

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