Write an equation in point-slope form of the line through the given point and with the given slope. (2, –5); m = 0

Point slope form is given by the following formula

y-y1=m(x-x1) where m is slope and (x1,y1) is point

putting in the given information

y-(-5)=0(x-2)
simplifying we find

y+5=0 and y=-5

remember that a line with 0 slope is a horizontal line with means no matter what x is y is a constant value. since our point tells us y is -5 with a 0 slope y must be -5 at every value of x. we write this as y=-5

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