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
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