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Select the equation of the line that passes through the point (−2, 3) and is perpendicular to the line on the graph.

y = 0

y = −2

y = 3

y = 3x


with a line going through points four comma 0 and four comma 2.

Verified Answer :

calculista

Step 1

Let

\(A(4,0)\ B(4,2)\)

the equation of the line AB is

\(x=4\)

we know that

the line AB is parallel to the y-axis

therefore

the line perpendicular to the line AB will be parallel to the x-axis and the equation of the line will be equal to the y-coordinate of the point \((-2,3)\)

The y-coordinate of the point is \(3\)

the equation of the line is

\(y=3\)

the answer is the option

\(y=3\)

see the attached figure to better understand the problem

View image calculista

Answer: B (x = 1)

Step-by-step explanation:

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