Parallel to the line specified by 10 y + 3x= -2

In this case the new line is to be parallel to the line given by 10 y ? 3x ? -2 and so it have to have the similar slope as this line. Thus we know that,

m ₂ =-  3/10

Now, we've got a point on the new line, (8, 2) ,& we know the slope of the new line, - 3, so ,we can employ the point-slope form of the line to write down the equation of the new line.  Following is the equation,

y= 2 - 3/10 ( x - 8)

        = 2- 3/10x + 24/10

= - 3/10x +44/10

y = -(3/10)x+22/5