Which equation represents the slope-intercept form of the line below? 10+
-10
10
y-intercept = (0,8)
slope = 1
10-
O A. y = x+8
O B. y= 8x-3
C. y = 3x - 8
D. y = 8x+

sin(x)=0.4=4/10=2/5

We can assume that the hypotenuse is 5k and the opposite side of angle x is 2k for any real number k(that is not 0) since 2k/5k=2/5

We can find the 3rd side(the adjacent side) by the Pythagorean theorem. sqrt(5k^2-2k^2)=k*sqrt21

Now, tan(x) is the opposite side over the adjacent side so the right side would be 2k/sqrt21*k, now simplify and rationalize the fraction.

2k/sqrt21*k=2/sqrt21=2*sqrt21/21

Done!

Hope this helped any questions can be asked in the comments and I will come answer.