Subjects algebra

Line Intercepts 5D4D72

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Line Intercepts 5D4D72


1. The problem asks to identify the points where a straight line cuts both axes. 2. From the graph description, the line passes through (0, 3) on the y-axis and (3, 0) on the x-axis. 3. Points where a line cuts the axes are called intercepts: the y-intercept is where $x=0$ and the x-intercept is where $y=0$. 4. Here, the y-intercept is $(0, 3)$ and the x-intercept is $(3, 0)$. 5. Among the options, only option (D) correctly lists these intercepts as $(3, 0)$ and $(0, -2)$, but note the y-intercept in (D) is $(0, -2)$ which is incorrect. 6. The correct intercepts from the graph are $(0, 3)$ and $(3, 0)$, which matches option (A) except that (A) has a typo with a misplaced parenthesis: it says (0, 3) and -2, 0) which is likely a mistake. 7. Since the graph shows intercepts at $(0, 3)$ and $(3, 0)$, the correct answer is option (D) if the y-intercept is $(0, -2)$, but the graph says $(0, 3)$. 8. Therefore, the correct intercepts are $(0, 3)$ and $(3, 0)$, which corresponds to option (D) if corrected to $(0, 3)$. Final answer: The line cuts the axes at $(3, 0)$ and $(0, 3)$.