Write an equation of the line that passes through (0,−5) and (−5,−5).

Answer 1

y=-5

It's a flat horizontal line, parallel to the x axis

just set y = to the y coordinate of the points, when they have the same y coordinate

Or if you want to "beat a dead horse" so to speak, use the distance formula

to find the slope of the line through the two points (apologies to horses and horse owners)

slope = difference in y values over difference in x values = (-5- -5)/(0 - -5) = 0/5 = 0

slope = 0

plug that into the y=mx +b standard equation with m=0

y=(0)x + b

to find b plug in either point

-5 = (0)(0) + b

b = -5

y= (0)x -5 or

y = -5 is the line through the two given points

Or just plot the two points and draw a line through them, and notice y=-5 fits