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3 years ago

What is the slope-intercept form of the linear equation 2x + 3y = 6?

Mathematics

2 answers:

Irina-Kira [14]3 years ago

5 0

<span>2x + 3y = 6
3y = -2x + 6
y = -2/3x + 2

answer
</span> y = -2/3x + 2

Dafna1 [17]3 years ago

3 0

we know that

The equation of the line into slope-intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$2x+3y=6$

Isolate the variable y

$3y=-2x+6$

$y=-\frac{2}{3}x+\frac{6}{3}$

$y=-\frac{2}{3}x+2$

the slope is $m=-\frac{2}{3}$

the y-intercept is $b=2$

the answer in the attached figure

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