Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is
Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)
Generic slope intercept form of a line is given by y = mx + c
where "m" = slope of the line and "c" is the y - intercept
Let’s first find slope intercept form of 2x+3y=-8 to get slope of line
On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,
We know that slopes of parallel lines are always equal
So the slope of line passing through (2, -2) is also
Equation of line passing through and having slope of m is given by
Substituting the values in equation of line we get
Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as