Graph the following line by plotting the intercepts and connecting them with a line. Your final graph should contain a line and two dots.

-2x-5y = 10

Here is the graph of the line \( -2x - 5y = 10 \) using the intercepts. The points \( (-5, 0) \) and \( (0, -2) \) are plotted as dots, and the line passes through these points.

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Here are five related questions to deepen understanding:

1. How would the graph change if the equation were \( 2x + 5y = 10 \)?
2. What would the slope of this line be?
3. How can we find the intercepts for lines in standard form more efficiently?
4. How do we graph lines that don’t have integer intercepts?
5. What is the significance of intercepts in real-world applications?

**Tip:** When dealing with linear equations in standard form \( Ax + By = C \), setting one variable to zero quickly finds the intercepts, making it easier to plot the line.

Graph the following line by plotting the intercepts and connecting them with a line. Your final graph should contain a line and two dots. -2x - 5y = 10

Learn how to graph the line -2x - 5y = 10 by identifying and plotting the intercepts, then connecting them with a line. This step-by-step solution covers key algebraic concepts for graphing linear equations, suitable for students in Grades 8-10.

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