What is the slope of the equation y = 3/4x + 8?
A. 3/4
B. 8
C. 3
D. 4

Step-by-step explanation:    

y = m x + b

y = 3 /4 x − 8

Rewrite in slope-intercept form.

y = 3 /4 x − 8

Using the slope-intercept form, the slope is  3 /4 .

m =3 /4

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this