Option (b) is correct
we have to find equation represents the line that passes through (2,-4) and is perpendicular to the graph of x - 4y = 8
What is slope intercept form?
y=mx+c
where m is the slope
x - 4y = 8 we have to convert this to slope intercept form
-4y=8-x
4y=x-8
y=x/4-2
So slope m= 1/4
As the line that passes through (2,-4) and is perpendicular to the graph of x - 4y = 8,
we have y-y1=m(x-x1)
y-(-4)=1/4(x-2)
y+4=x/4-1/2
y=x/4-1/2-4
y=x/4-9/2
Therefore option (b) is correct
To learn more about slope intercept form https://brainly.com/question/20786109
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