1. find the equation of the line that is parallel to the line y=-3/2x+4 and passes through point (4,0).2. find the equation of the line that is perpendicular to the line y=-1/3x-1 and passes through point (1,5).

1.

The parallel lines have the same a slope.

We have:

Therefore, the searched line has the equation:

We know, the line passes through point (4,0). Substitute the coordinates of the point to the equation of the line:

2.

Let and

The line l is perpendicular to the line k if and only if

We have

The searched line has the equation:

We know, the line passes through point (1,5). Substitute the coordinates of the point to the equation of the line:

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

12

step-by-step explanation: