Final answer:
To find the equation of a line parallel to a given line, we need to determine its slope and use the point-slope form of a linear equation.
Step-by-step explanation:
To find the equation of a line that is parallel to the line 152x - 3y = 15, we need to determine its slope. The given line can be rewritten in slope-intercept form as y = (152/3)x - 5. To be parallel to this line, the slope of the new line must be the same. Therefore, the slope of the new line is 152/3.
Using the point-slope form of a linear equation, we can write the equation as y + 3 = (152/3)(x - 3). Simplifying further, we get y + 3 = (152/3)x - 152. Now, isolate y to get the final equation as y = (152/3)x - 155.