The graph of the eqation $y=2 x-1$ is shown in the coordinate plane. $\newline$ Which lists contain only points that lie on the graph of $y=2 x-1 ?$ $\newline$ Select each correct answer. $\newline$ A. $(2000,1999),(3,5)$ $\newline$ B. $(0,-1),(15,29),(2,3)$ $\newline$ C. $(-2,-3),(-5,-9),(0,0)$ $\newline$ D. $\left(\frac{1}{4},-\frac{1}{2}\right),\left(\frac{4}{5}, \frac{3}{5}\right)$ $\newline$ Е. $(-0.5,-2),(0.3,-0.4),(0.5,0)$

Full solution

Q. The graph of the eqation

y=2 x-1

is shown in the coordinate plane.

\newline

Which lists contain only points that lie on the graph of

y=2 x-1 ?

\newline

Select each correct answer.

\newline

(2000,1999),(3,5)

\newline

(0,-1),(15,29),(2,3)

\newline

(-2,-3),(-5,-9),(0,0)

\newline

\left(\frac{1}{4},-\frac{1}{2}\right),\left(\frac{4}{5}, \frac{3}{5}\right)

\newline

Е.

(-0.5,-2),(0.3,-0.4),(0.5,0)

Check Points Option A: Step $1$ : Check points in option A: $(2000,1999)$ , $(3,5)$ . For $(2000,1999)$ , substitute $x=2000$ into $y=2x-1$ : $y=2(2000)-1=3999$ , not $1999$ .
Check Points Option B: Step $2$ : Check points in option B: $(0,-1),(15,29),(2,3)$ . For $(0,-1)$ , substitute $x=0$ into $y=2x-1$ : $y=2(0)-1=-1$ , correct.
Check Points Option C: Step $3$ : Check points in option C: $(-2,-3),(-5,-9),(0,0)$ . $\newline$ For $(-2,-3)$ , substitute $x=-2$ into $y=2x-1$ : $y=2(-2)-1=-5$ , not $-3$ .
Check Points Option D: Step $4$ : Check points in option D: $\left(\frac{1}{4},-\frac{1}{2}\right)$ , $\left(\frac{4}{5},\frac{3}{5}\right)$ . For $\left(\frac{1}{4},-\frac{1}{2}\right)$ , substitute $x=\frac{1}{4}$ into $y=2x-1$ : $y=2\left(\frac{1}{4}\right)-1=-\frac{1}{2}$ , correct.
Check Points Option E: Step $5$ : Check points in option E: $(-0.5,-2)$ , $(0.3,-0.4)$ , $(0.5,0)$ . $\newline$ For $(-0.5,-2)$ , substitute $x=-0.5$ into $y=2x-1$ : $y=2(-0.5)-1=-2$ , correct.