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How do you find the slope and intercept of #4(3x+9) - 3(5y+7)=11#?

Answer 1

Eli Assouline

the slope is #4/5# and the intercept is #4/15#

First let's multiply and get the form #y=mx+n# where #m# is the slope and #n# is the intercept:

#12x+36-15y-21=11#

#15y=12x+36-21-11#

#15y=12x+4#

#y=cancel12^4/cancel15^5x+4/15#

#y=4/5x+4/15#

Then the slope is #4/5# and the intercept is #4/15#

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Answer 2

Ethan Adkins

To find the slope-intercept form (y = mx + b) of the given equation, first, simplify the equation and then solve for y.

Given equation: 4(3x + 9) - 3(5y + 7) = 11

Simplify the equation: 12x + 36 - 15y - 21 = 11 12x - 15y + 15 = 11

Rearrange the terms: 12x - 15y = 11 - 15 12x - 15y = -4

Now, rewrite the equation in slope-intercept form: -15y = -12x - 4 y = (12/15)x + (4/15)

The slope of the line is 12/15, which simplifies to 4/5. The y-intercept is 4/15.

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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.