Question

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.

Answer 1

Answer: B (x = 1)

Explanation:

Answer 2

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