Which equation represents a line that passes through the point (6,-3) and is parallel to the graph to y= 3x + 1?

The equation that represents a line that passes through the point and is parallel to is .

Explanation:

According to the Analytical Geometry, a line is defined by the following expression:

(1)

Where:

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

- Slope, dimensionless.

- Intercept, dimensionless.

By definition of the equation of the line, we understand that two lines that are parallel to each other has the same slope. Hence, the slope of the resulting line is:

If we know that , and , then the intercept of the parallel line is:

Hence, the equation that represents a line that passes through the point and is parallel to is .