What is the slope of the line represented by the equation 4x + 8y = 4?

Answer 1

The slope is #color(red)(m = -1/2)#

To find the slope we can transform this line into the slope-intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#
Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.
Solving for #y# gives:
#4x + 8y = 4#
#color(red)(-4x) + 4x + 8y = color(red)(-4x) + 4#
#0 + 8y = color(red)(-4x) + 4#
#8y = -4x + 4#
#(8y)/color(red)(8) = (-4x + 4)/color(red)(8)#
#(color(red)(cancel(color(black)(8)))y)/cancel(color(red)(8)) = (-4x)/color(red)(8) + 4/color(red)(8)#
#y = color(red)(-1/2)x + color(blue)(1/2)#
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Answer 2

To find the slope of the line represented by the equation 4x + 8y = 4, rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope. Then, identify the coefficient of x, which represents the slope.

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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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