The general slope-intercept form of the line: y = m * x + b
The parallel lines have the same slope
Given the equation of the line: y= -3x - 2
the slope of the given line = -3
The required line is parallel to the given line
So, the slope of the required line = m = -3
The equation of the line will be: y = -3x + b
The required line passes through the point (7, 2)
So, when x = 7, y = 2
We will find the value of b as follows:
[tex]\begin{gathered} 2=-3\cdot7+b \\ 2=-21+b \\ b=2+21=23 \end{gathered}[/tex]So, the answer will be the equation of the line is:
[tex]y=-3x+23[/tex]