How do you graph ##y=2x-5##?

##y=2x-5## is a line. Determine the two points that this line intersects with the axes then connect these points to graph it.

Given ##y=2x-5##

Set ##y=0## then solve for the abscissa

##y=2x-5## ##0=2x-5## ##2x=5## ##x=5/2##

We now have the point ##(5/2, 0)##

Set now ##x=0## then solve for the ordinate

##y=2x-5## ##y=2(0)-5##

##y=-5##

We now have the point ##(0, -5)##

We now simply draw a line passing thru the two points ##(5/2, 0)## and ##(0, -5)##

Kindly see the graph of ##y=2x-5## with the points ##(5/2, 0)## and ##(0, -5)##

God bless....I hope the explanation is useful.