How do you find the slope given 9 - 1/4y = 8x?

Answer 1

See a solution process below:

We can transform this equation into the slope-intercept form to find the slope. 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.

#9 - 1/4y = 8x#

#-color(red)(9) + 9 - 1/4y = 8x - color(red)(9)#

#0 - 1/4y = 8x - 9#

#-1/4y = 8x - 9#

#color(red)(-4) xx -1/4y = color(red)(-4)(8x - 9)#

#cancel(color(red)(-4)) xx 1/color(red)(cancel(color(black)(-4)))y = (color(red)(-4) xx 8x) - (color(red)(-4) xx 9)#

#y = color(red)(-32)x + color(blue)(36)#

The slope of the line represented by the equation is: #color(red)(-32)#

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Answer 2

Savannah Anderson

To find the slope, rearrange the equation into slope-intercept form (y = mx + b), where m is the slope. Then, identify the coefficient of x, which represents the slope. So, rewrite the equation as y = -4x + 36. The slope is -4.

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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.