How do you graph the line #y=2x+5#?

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Answer 1 · 2017-11-13T15:39:09

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point: For #x = 0#

#y = (2 * 0) + 5#

#y = 0 + 5#

#y = 5# or #(0, 5)#

First Point: For #x = 2#

#y = (2 * 2) + 5#

#y = 4 + 5#

#y = 9# or #(2, 9)#

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-5)^2-0.125)((x-2)^2+(y-9)^2-0.125)=0 [-30, 30, -15, 15]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-2x-5)(x^2+(y-5)^2-0.125)((x-2)^2+(y-9)^2-0.125)=0 [-30, 30, -15, 15]}