Subjects algebra

Draw Line D6B3B9

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1. The problem asks to draw the line given by the equation $$2x - y - 1 = 0$$ on a coordinate grid with a specific scale. 2. First, rewrite the equation in slope-intercept form to understand the line better: $$2x - y - 1 = 0 \implies -y = -2x + 1 \implies y = 2x - 1$$ 3. The scale given is 4 cm to 1 unit on the x-axis and 2 cm to 1 unit on the y-axis. 4. Using the table values for $$x = -2, 0, 2$$, the corresponding $$y$$ values are $$-5, -1, 3$$ respectively, which satisfy the equation. 5. To draw the line: - Mark the x-axis with units from $$-2$$ to $$2$$, spacing each unit 4 cm apart. - Mark the y-axis with units covering at least from $$-5$$ to $$3$$, spacing each unit 2 cm apart. - Plot the points $$(-2, -5)$$, $$(0, -1)$$, and $$(2, 3)$$ on the grid using the scale. - Connect these points with a straight line. 6. This line represents the graph of $$2x - y - 1 = 0$$ for $$-2 \leq x \leq 2$$. 7. The key is to use the scale correctly so the distances on the paper correspond to the units on the axes.