Choose the equation and the slope of the line that passes through (4,-2) and is perpendicular to the x-axis.

C. Equation: x=4

D. Slope: undefined

Step-by-step explanation:

If a line is perpendicular to the x-axis, then it is a vertical line because the x-axis is horizontal.

The slope of a vertical line is undefined.

The equation of a vertical line through is

Since the vertical line passes through (4,-2), its equation is

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