In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
2x - 3y = 12
-3y = -2x + 12
y = 2/3x - 4
Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
The statement that best describes the graph of a proportional relationship with paired points is: A. A straight line can be drawn through all the points, and the line passes through the point (0, 0).
<h3>What is the Graph of a Proportional Relationship?</h3>
A graph that represents a proportional relationship between two variables can be described as a graph that connects all the given points and goes through the point of origin, (0, 0).
A proportional relationship graph is also a straight line graph. Every point in the relationship are located on the line.
An example of a graph that represents a proportional relationship between two variables is the graph given in the diagram above.
As you can observe, all points are connected by a straight line and it passes through the point of origin, (0, 0).