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What is the y-intercept of the line perpendicular to the line y = negative three fourthsx + 5 that includes the point (−3, −3)?

negative three fourths
1
7
negative twenty one fourths

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Answer:

[tex]b = 1[/tex]

Step-by-step explanation:

[tex]y = -\frac{3}{4}x + 5[/tex]

The line perpendicular to this is:

[tex]y = \frac{4}{3}x + b[/tex]    (We don't know the y-intercept, but we can solve for it since we have a given ordered pair, (-3, -3))

[tex]-3 = \frac{4}{3}*(-3) + b[/tex]    (Simplify)

[tex]-3 = -4 + b[/tex]    (Add 4 to both sides)

[tex]b = 1[/tex]

amna04352

Answer:

1

Step-by-step explanation:

m1 = -3/4

m2 = 4/3

y = (4/3)x + c

-3 = (4/3)(-3) + c

-3 = -4 + c

c = -3 + 4

c = 1

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