Answered

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

Which Equation Represents A Line Which Is Perpendicular To The Line X 2y 2 class=

Sagot :

irspow

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.

What is a linear equation?

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.

Learn more about linear equations;

https://brainly.com/question/27056029

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