chloemaree1406
Answered

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Which equation represents the line that is perpendicular to y=1/4 and passes through (-6,9)?

A. X= -9
B.x= -6
C.y= -9
D.y= -4

Sagot :

mohgazzaley

Answer:

c

Step-by-step explanation:

[tex]\huge\boxed{\boxed{\boxed{\bf{Hi\:there!}}}}[/tex]

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, change its sign, and flop it over.

Here, we have 1/4.

First, we change its sign:

-1/4

Now, we flop it over:

-4

So the slope of the line perpendicular to the given line is -4.

Now, we are given the slope of the line and a point that the line passes through.

We can use the Point-Slope formula:

[tex]\huge\sf{y-y1=m(x-x1)[/tex]

[tex]\huge\sf{y-9=1/4(x-6)[/tex]

[tex]\huge\sf{y-9=1/4x-1.5[/tex]

[tex]\sf{y=1/4x-1.5+9\\[/tex]

[tex]\sf{y=1/4x+10.5[/tex]

[tex]\huge\boxed{Hope\:it\:helps!}[/tex]

[tex]\huge\bold{\underline{Good\:luck!}}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

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