Explain how to graph an equation in the rectangular coordinate system. Question content area bottom Part 1 Choose the correct answer below. A. First, find several ordered pairs that are solutions of the equation. Next, plot these ordered pairs as points in the rectangular coordinate system. Finally, connect the points with a series of line segments. B. First, find several ordered pairs that are solutions of the equation. Next, plot these ordered pairs as points in the rectangular coordinate system. Finally, connect the points with a smooth curve or line. C. First, find several ordered pairs that are solutions of the equation. Next, draw horizontal lines at all y-values in these ordered pairs, and draw vertical lines at all x-values in these ordered pairs. Finally, connect the intersections of the horizontal and vertical lines with a smooth curve or line. D. First, find several ordered pairs that are solutions of the equation. Next, draw horizontal lines at all y-values in these ordered pairs, and draw vertical lines at all x-values in these ordered pairs. Finally, connect the points with a series of line segments. Choose the correct answer below.
The correct answer is:
B. First, find several ordered pairs that are solutions of the equation. Next, plot these ordered pairs as points in the rectangular coordinate system. Finally, connect the points with a smooth curve or line.
This method is appropriate because it allows for the representation of both linear and non-linear equations accurately. Connecting the points with a smooth curve or line is essential for visualizing the relationship described by the equation, especially for functions that are continuous.