What is a basic method to start graphing a linear equation by plotting points?

What is a basic method to start graphing a linear equation by plotting points?

• A. Plot only the y-intercept and draw a line through it.
• B. Solve for x-intercepts and plot them.
• C. Plug in an x value to get a y value, plot that point, and use slope to add more points.
• D. Draw a line with a fixed slope without using the equation.

Answer: (C)

When graphing a linear equation by plotting points, start by turning the equation into coordinates you can plot. Choose an x-value, substitute it into the equation to get the corresponding y, and plot that ordered pair. Then use the slope (rise over run) to step to a second point by adding the rise and run to the first point, and plot it as well. With two points on the line, you can draw the straight path that represents the equation. This method directly ties each plotted point to the equation, ensuring the points lie on the line and making it straightforward to extend the graph with additional points. Using only the y-intercept provides just one point and needs the slope to define the rest; solving for x-intercepts can yield awkward values and still leaves you with just a couple of points. Drawing a line with a fixed slope without referencing the actual equation risks producing a line that doesn’t match the given equation.

When graphing a linear equation by plotting points, start by turning the equation into coordinates you can plot. Choose an x-value, substitute it into the equation to get the corresponding y, and plot that ordered pair. Then use the slope (rise over run) to step to a second point by adding the rise and run to the first point, and plot it as well. With two points on the line, you can draw the straight path that represents the equation. This method directly ties each plotted point to the equation, ensuring the points lie on the line and making it straightforward to extend the graph with additional points. Using only the y-intercept provides just one point and needs the slope to define the rest; solving for x-intercepts can yield awkward values and still leaves you with just a couple of points. Drawing a line with a fixed slope without referencing the actual equation risks producing a line that doesn’t match the given equation.