Since the line stops at the point (6, 7), then it means that the height of the triangle made is 7 units and the base is 6 units long.
An angle, θ, is made at the line that joins the origin and the point (6, 7).


Hence,
To solve this problem, you will first use the Angle Sum Property to determine the value of <em>x </em>after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.
<h3>Use the Angle Sum Property</h3>
The Angle Sum Property states that all interior angles of a triangle will summate to 180º.
An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as <em>x</em> in this scenario.
Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is <em>x</em> and can therefore be placed in an equation:

<h3>Combine Like Terms</h3>
Combine the like terms by combining the constants on the left side of the equation using addition:


<h3>Subtract</h3>
After combining like terms, subtract 107 from both sides of the equation:


The final answer is <em>x</em> = 73 degrees.
Answer:
The perpendicular line would be y = -3x - 7
Step-by-step explanation:
To find the equation of the line, we first need to solve the original line for y.
-x + 3y = 9
3y = x + 9
y = 1/3x + 3
Now we know the slope of the original line to be 1/3. Since perpendicular lines have opposite and reciprocal slope, we know the new line to have a slope of -3. We can then use that along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -3(x + 3)
y - 2 = -3x - 9
y = -3x - 7
Answer: 2
Explanation: common sense math lol