In this case (y - 6) = -2(x - (-7)) or y - 6 = -2x + 14 so y = -2x + 20.Hope this is clear and helpful.-parallel to the line 4x+2y=9you need to put this in slope intercept formy=2y= -4x+9y= -4x/2y= -2xslope= -2so you start withy= -2xto pass through (-7,6)subtract those values from their x and y variable(y-6)= -2(x-(-7))y-6= -2(x+7)y-6= -2x-14y= -2x-8ory= -2(x+4)-4x + 2y = 92y = -4x + 9y = -2x + 9/2y - 6 = -2[x - (-7)]y - 6 = -2(x + 7)y - 6 = -2x - 14y = -2x - 8or in standard form2x + y = -8-4x+2y=9solve for y2y=9-4xy=(9-4x)/2y=9/2-2xslope is -2. line parallel will have the same slope. y-6=-2(x+7)y-6=-2x-14y=-2x-8.......
To get the included (-7,6) use the point-slope method as (y - y1) = m(x - x1).
In this case (y - 6) = -2(x - (-7)) or y - 6 = -2x + 14 so y = -2x + 20.
Hope this is clear and helpful.
