Find the equation of the line. Use exact numbers.

y = -3/2 x +3

Step-by-step explanation:

We can use the slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is 3

Now to find the slope

Pick two points on the line

( 0,3) and ( 2,0)

m = ( y2-y1)/(x2-x1)

   = ( 0-3)/(2-0)

   = -3/2

The equation of the line is

y = -3/2 x +3

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47