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

1 Answer

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

Explanation:

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)#

Desmos.com

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