Write the equation of the line in fully simplifoed slope intercept form

Step-by-step explanation:

The equation of the line in slope-intercept form:  y = mx + b, where m is a slope and b is y-intercept

Slope of  line that passes through two given points:  

(0, 8)    ⇒    x₁ = 0,  y₁ = 8

(3, 3)      ⇒    x₂ = 3,  y₂ = 3

b = 8

Therefore the equation:   y = -⁵/₃x + 8

c. 4 and 1/2 pounds is the answer! : )

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