Answer:
Step-by-step explanation:
AI-generated answer
To find an equation of a line parallel to
and passing through the y-intercept of 3, we can follow these steps:
1. Determine the slope of the given line: The slope of the line
is -3.
2. Since the line we are looking for is parallel to this line, the slope of the new line will also be -3.
3. Use the point-slope form of the equation of a line:
The general form of the point-slope equation is
, where
is a point on the line and is the slope.
4. Given that the y-intercept is the point (0, 3), we substitute
and
into the point-slope form:
5. Simplify the equation:
6. Finally, write the equation in slope-intercept form (y = mx + b) by isolating y:
Therefore, an equation of the line parallel to
and passing through the y-intercept of 3 is .
