Answer:
y = -x/2 + 1
Explanation:
Step 1: find the slope
2x - y - 7 = 0
2x - 7 = y
y = 2x - 7
Equation of a line is y = mx + c
m = slope
m = 2
Note: if two lines are perpendicular to the other, both lines are negative reciprocal of each other
Therefore m = -1/2
Step 2: using a point slope form
y - y1 = m( x - x1)
( 4 , -1)
x = 4
y = -1
y - (-1) = -1/2(x - 4)
y + 1 = -1/2(x - 4)
Open the bracket
y + 1 = -x + 4 / 2
y = (-x + 4) / 2 - 1
LCM = 2
y = -x + 4 - 2 / 2
y = (-x + 2)/2
Separate the two, so as to get the slope and the intercept
y = -x/2 + 2/2
y = -x/2 + 1
The equation of the line is
y = -x/2 + 1