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1. What is the slope of the line with the equation of y = −2/3

x that passes through the point (2, 1)?

 

a. -2/3

 

b.  -3/2

 

c. 2/3

 

d. 3/2

 

e. 1/2

 

 

2.) The hypotenuse and one of the legs of a right triangle form an angle that has a sine of 4/9

. What is the tangent of the angle?

 

a.[4√65]/65

 

b.[9√65]/65

 

c.√65/4

 

d.√65/9

 

e.9/4

Guest Oct 18, 2018
 #1
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THAT is the equation of a line in the form   y = mx + b     where m = slope = -2/3

 

 

 

Sin = opp/hypot          opp = 4   hyp = 9

 

adjacent leg using pythagorean theorem

  4^2 = ADJ^2 = 9^2

ADJ^2 = 65

ADJ = SQRT 65   

 

 TAN = OPP/ADJ =  4/ SQRT65    WHICH EQUALS    4 SQRT65 / 65   IF YOU MULTIPLY BY SQRT65/SQRT65

ElectricPavlov  Oct 18, 2018
edited by ElectricPavlov  Oct 18, 2018

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