Question Type 2: Given an equation of a line, finding the angle of elevation Exercises

Find the angle that the line perpendicular to $y = 4x - 7$ makes with the positive $x$-axis. Provide your answer in degrees.

Find the angle of elevation of the line $3x - 4y + 7 = 0$ in degrees.

Find the angle of inclination of the line $8x - 15y + 20 = 0$ in degrees.

Given the vector form of a line $(x, y) = (1, 2) + t(-4, 3)$, find the acute angle the line makes with the $x$-axis in degrees to the nearest minute.

Find the angle that the line $y = 25x + 9$ makes with the positive $x$-axis in degrees.

Find the angle of elevation of the line $y = \sqrt{3}\,x - 5$, expressing your answer in radians.

Find the angle of inclination of the line $y = \tan(75^\circ)x + 1$ in degrees.

Find the acute angle between the line $y = -\frac{\sqrt{3}}{3}x + 2$ and the $x$-axis. Express your answer in degrees.

Find the angle of inclination of the line $5y - 12x + 7 = 0$ in degrees.

The parametric equations of a line are $x = 2 + 3t$, $y = 5 + 4t$. Find its angle of elevation in degrees.

A line passes through the points $(2,3)$ and $(5,11)$. Find the angle of inclination of this line in degrees.

Determine the angle that the line $y = -3x + 2$ makes with the positive $x$-axis. Express your answer to the nearest degree.