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**+2 **

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