Write the equation of the line that passes through the point (-4,-9) and had a slope of 1/2.

The answer to your question is     y = 1/2x - 7

Step-by-step explanation:

Data

Point = (-4, -9)

slope = m = 1/2

Process

To solve this problem, use the formula slope- y-coordinate, substitute the values and simplify.

Equation

                         y - y1 = m (x - x1)

  x1 = -4

  y1 = -9

-Substitution

                        y + 9 = 1/2 (x + 4)

-Simplification

                        y + 9 = 1/2x + 4/2

                        y = 1/2x + 2 - 9

-Result

                        y = 1/2x - 7

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