Which equation represents a line which is perpendicular to the line x – 2y = 2?

Answer:
Step-by-step explanation:
x-2y=2
2y=x-2
y=(x-2)/2
so the slope is 1/2
for lines to be perpendicular m1m2=-1 so the line must have a slope satisfying the condition
(1/2)m=-1
m=-2
the only line with a slope of -2 is
y=-2x+5
The equation represents a line that is perpendicular to the line x – 2y = 2 would have a slope of -2. The equation would be y = -2x + 5.
A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The given equation of line is
x-2y=2
2y = x - 2
y = (x - 2)/2
so, the slope of the equation is 1/2.
For the perpendicular lines
[tex]m_1m_2=-1[/tex]
So the line must have a slope that satisfies the condition.
(1/2) m = -1
m = -2
Hence, the only line with a slope of -2 is y = -2x + 5.
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