Q:

write an equation of the line that is parallel to -x + y = 5 and passes through the point (2,-5)

Accepted Solution

A:
Remember that the slope intercept formula is:y = mx + bm is the slopeb is the y-interceptso convert the equation -x + y = 5 into slope intercept form by adding x to both sides(-x + x) + y = 5 + x0 + y = 5 + xy = 5 + xTo match the slope intercept formula switch the x and 5 aroundy = x + 5 If lines are parallel then they have the same slope (m) but they have different bThis means that the slope of the line will be 1 (in front of the x is an invisible 1 which would be m)This is what we have so far...y =  x + bNow we must find bTo do that you must plug in the point the line goes through in the x and y of the equation.(2, -5)-5 = 1(2) + b-5 = 2 + b-7 = by = x + (-7)y = x - 7Hope this helped!~Just a girl in love with Shawn Mendes