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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