Answer:
Please look in the explanation.
Explanation:
To find the equation of a line that is parallel to a given line and passes through a given point, we need to use the fact that parallel lines have the same slope.
Let's say the given line has the equation y = mx + b, where m is the slope of the line. Since we want a parallel line, the slope of the line we want to find will also be m.
We also know that the line passes through the point (-3, 2). We can use this information to find the y-intercept (b) of the line we want to find. We can substitute the coordinates of the point (-3, 2) into the equation y = mx + b:
2 = m(-3) + b
Simplifying the right-hand side gives:
2 = -3m + b
We can rearrange this equation to solve for b:
b = 2 + 3m
Now we have the slope (m) and the y-intercept (b) of the line we want to find, so we can write its equation as:
y = mx + (2 + 3m)
This is the equation of the line that is parallel to the given line and passes through the point (-3, 2).