Answer:
The equation of required line is:
Step-by-step explanation:
We need to write equation in the form Ax+By+C=0 of the line parallel to and through the point (-2,3)
First we need to find slope and y-intercept of the required line.
Using equation of line to find slope.
Since the given line and required lines are parallel there slope is same.
Writing equation in slope intercept form: where m is slope.
So, the slope m = 5/8
The slope of required line is
Now finding y-intercept using slope and point(-2,3)
So, the equation of required line having slope and y-intercept
So, The equation of required line is: