Answer:
To find the equation of the line, you must first of all find the slope in the given equation,how do you do that? You just need to make y the subject of the formula and then compare the resulting equation to y = mx + c, knowing fully well that m represent the slope.
i.e from the equation 5y = 11 - 6x
y = 11/5 - 6x/5
i,e the slope is -6/5
Note: for two lines to be parallel, they must have the same slope
i.e m1 = m2
using the formula y - y1 = m ( x - x 1) to find the equation of the line
it implies : y - (-1) = -6/5 ( x - {-3})
y + 1 = -6/5 ( x +3)
multiply through by 5
5 ( y+1) = -6 ( x +3)
5y +5 = -6x - 18
5y = -6x -18-5
5y = -6x -23
To write it in slope intercept form, divide through by 5
y = -6x/5 - 23/5
Explanation: