Answer:
The equation of line in slop-intercept form is given by:
Step-by-step explanation:
Given equation of line:
To find the equation of line parallel to the line of the given equation and passes through point (-3,1).
Applying slope relationship between perpendicular lines.
where and are slopes of parallel lines.
For the given equation in the form the slope can be found by comparing with standard form.
∴
Thus slope of line parallel to this line would be given as:
∴
The line passes through point (-3,1)
Using point slope form:
Where and
So,
Using distribution.
Adding 1 to both sides.
Thus the equation of line in slop-intercept form is given by: