Question

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13. Which line is perpendicular to y= -3/4 x+2 if the line passes through the point (3, 5)?

A) y= 4/3 x+1
B) Y-3= 4/3(x-5)
C) y= 4/3x-9
D) y-3= -3/4(x-5)

18. What is the range of y=x+3^2?
A) {3^2}
B) {1, 3, 9}
C) All real numbers except 9.
D) All real numbers

Answer 1

Answer:

13.A) y= 4/3 x+1

D) all real numbers

Step-by-step explanation:

$y= -\frac{3}{4} x+2\\(3,5)=(x,y)\\m_1 =-\frac{3}{4} \\\\m_2 = \frac{-1}{-\frac{3}{4} } \\m_2 =4/3\\Substitute\:values\:into\:y=mx+b\:form\\\\5 = \frac{4}{3} (3) +b\\5 = 4+b\\5-4=b\\1=b\\m =4/3\\\\Substitute \:new\:values\:into\:y=mx+b\:form\\\\y = \frac{4}{3} x +1$