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y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️ y-intercept (b):

When x = 0, y = -5. Therefore, the y-intercept (b) = -5. It is the point at which the y-axis cut across by the line. At this point, x is always zero.

✔️Slope using two points (0, -5) and (1, -1):

Slope (m) = 4

✔️Equation in slope-intercept form y = mx + b:

Substitute m = 4, and b = -5 into y = mx + b

y = 4(x) + (-5)

y = 4x - 5

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