Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. If a line is parallel to another line, it means they have the same slope. To find the slope of the line 7x - y = 3, we can rearrange it into slope-intercept form: y = 7x - 3. So, the slope of the line 7x - y = 3 is 7.
Since the line we want to find is parallel to 7x - y = 3 and has a slope of 7, the equation of the line can be written as y = 7x + b, where b is the y-intercept. To find b, we use the point (6, 3) as a solution:
y = 7x + b
3 = 7 * 6 + b
3 = 42 + b
b = -39
So, the equation of the line that passes through (6, 3) and is parallel to 7x - y = 3 is y = 7x - 39.