The graph of the line through (2, 3) that is perpendicular to the line with
equation y = -1 also goes through which point?
f (0, 1)
g (1, 4)
h (2, -4)
j (-2, 3)

  H  (2, -4)

Step-by-step explanation:

The given line is a horizontal line, so a perpendicular will be a vertical line. Its equation will be of the form ...

  x = constant

In order for that line to go through (2, 3), the constant must be the x-coordinate, 2. So, the perpendicular line to y=-1 is ...

  x = 2.

It will go through any point with an x-coordinate of 2, but will not go through any point with any other x-coordinate. So, the appropriate answer choice is the point ...

  (2, -4)

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0