What equation is graphed in this figure? y−4=−13(x+2) y−3=13(x+1) y+2=−3(x−1) y−5=3(x−1)

y + 2 = -3(x - 1)                           Option C

Explanation :

In given graph y intercept is (0,1)

So, we check all the equations whose y intercept is (0,1)

We know the slope intercept form of line

y = mx + b

where b is y intercept

We write every equation in slope intercept form

Start from equation (1)

y - 4 = -13(x+2)

y - 4 = -13x - 26

y = -13x -22

y intercept is -22

Second equation:

y - 3  = 13x + 13

y = 13x + 16                     y intercept is 16

Third equation:

y + 2 = -3x + 3

y = -3x + 1

y intercept  is 1

So this is correct answer.

d

step-by-step explanation:

d

(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