The equation for the line is:
3y - x = 14
Explanation:Given the line:
x - 3y = 7
This line can be written as:
y = (1/3)x - 7/3
The slope is 1/3
The y-intercept is -7/3
A line parallel to this has the same slope but different y-intercept, written as:
y = (1/3)x + b
Using the given point (-2, 4), with x = -2 and y = 4, we can obtain the value of b
4 = (1/3)(-2) + b
b = 4 + 2/3
= 14/3
Therefore, the line is:
y = (1/3)x + (14/3)
or
3y - x = 14
