Subjects algebra

Line Points Ae48C2

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1. **State the problem:** Graph the line $y=2x-5$ and find ordered pairs on it. 2. **Formula:** The line equation is $y=mx+b$ where $m$ is slope and $b$ is y-intercept. 3. **Find points:** Substitute $x=0,1,2,3$ into $y=2x-5$: $$y=2(0)-5=-5$$ $$y=2(1)-5=-3$$ $$y=2(2)-5=-1$$ $$y=2(3)-5=1$$ 4. **Ordered pairs:** $(0,-5), (1,-3), (2,-1), (3,1)$ 5. **Check if $(-17,-39)$ is on the line:** Substitute $x=-17$: $$y=2(-17)-5=-34-5=-39$$ Since $y=-39$ matches, point $(-17,-39)$ is on the line. Final answer: Ordered pairs are $(0,-5), (1,-3), (2,-1), (3,1)$ and $(-17,-39)$ lies on the line $y=2x-5$.