Question 1204964
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This is a linear equation of the form y = mx+b
m = 2 = slope
b = -1 = y intercept


The y intercept is where the line crosses the y axis.
Therefore (0,-1) is one point on the line.


The slope 2 = 2/1 means "go up 2, then right 1".
Follow this motion path to go from (0,-1) to (1,1)


Plot the two points (0,-1) and (1,1)
Draw a straight line through them
{{{
drawing(400,400,-5,5,-5,5,
graph(400,400,-5,5,-5,5,-100,2x-1),

circle(0,-1,0.05),circle(0,-1,0.07),circle(0,-1,0.09),circle(0,-1,0.11),circle(0,-1,0.13),circle(0,-1,0.15),circle(1,1,0.05),circle(1,1,0.07),circle(1,1,0.09),circle(1,1,0.11),circle(1,1,0.13),circle(1,1,0.15),

locate(0+0.2,-1-0.2,"(0,-1)"),
locate(1+0.2,1-0.2,"(1,1)")

)
}}}


Another approach is to plug in x = 0 and it leads to y = -1 through this scratch work
y = 2x-1
y = 2*0-1
y = -1
This shows (0,-1) is on the line
And do the same for x = 1
y = 2x-1
y = 2*1-1
y = 1
This shows (1,1) is also on the line


GeoGebra and Desmos are two (of many more) graphing tools that can be used to verify the answer.
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