Respuesta :

x + 2y = 4

Slope intercept form is y = mx + b where m = slope and b = y-intercept.

In this case

x + 2y = 4

2y = -x + 4

 y = -1/2 x + 2

Answer

Slope intercept form: y = -1/2 x + 2

The slope-intercept form of the equation [tex]x + 2y = 4[/tex] is [tex]y = \frac{-1}{2}x + 2[/tex]

The given equation is:

x  +  2y   =  4

The slope-intercept form of the equation of a line is:

y   =  mx  +  c

where m represents the slope

c represents the y-intercept

Express the equation x + 2y = 4 in the form y = mx + c

x   +  2y   =  4

2y  =  -x  +  4

Divide through by 2

[tex]\frac{2y}{2} = \frac{-1}{2}x + \frac{4}{2} \\\\y = \frac{-1}{2}x + 2[/tex]

Therefore, the slope-intercept form of the equation [tex]x + 2y = 4[/tex] is [tex]y = \frac{-1}{2}x + 2[/tex]

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