Question

Contains the point (-5, 1) and is perpendicular to the line 2x − y = 4

Answer 1

2x - y = 4

Put into slope-intercept form
-y = -2x + 4
y = 2x + 4

The slope is 2/1 so a line perpendicular to it has the slope -1/2

Use point/slope form and (-5,1)
y - y1 = m(x - x1)
y - 1 = -1/2(x + 5)
y - 1 = -1/2x - 5/2
y = -1/2x - 3/2 :)

Answer 2

Explanation:

2x − y = 4

2x − 4 = y

y = 2x - 4

negative inverse of slope is perpendicular

y = -1/2 x - 4

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point slope form of a line

(-5, 1) & m = -1/2

1 = -1/2 (-5) + b

1 = 5/2 + b

b = -3/2

Final answer: y = -1/2 x - 3/2

or if you prefer: 2y + x = -3