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What is the slope-intercept form of the linear equation 2x + 3y = 6?
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What is the slopeintercept form of the linear equation 2x 3y 6 Drag and drop the appropriate number symbol or variable to each box class=

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calculista

we know that

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

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]2x+3y=6[/tex]

Isolate the variable y

[tex]3y=-2x+6[/tex]

[tex]y=-\frac{2}{3}x+\frac{6}{3}[/tex]

[tex]y=-\frac{2}{3}x+2[/tex]

the slope is [tex]m=-\frac{2}{3}[/tex]

the y-intercept is [tex]b=2[/tex]

the answer in the attached figure

Ver imagen calculista
raphealnwobi

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

A linear equation is given by:

y = mx + b;

Where y,x are variables, m is the slope of the line and b is the y intercept.

Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:

2x + 3y = 6

3y = -2x + 6

Dividing through by 3:

y = (-2/3)x + 2

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

Find out more at: https://brainly.com/question/18672496

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