How do you Graph an equation?

How do you Graph an equation?

• A. Plot a point by guessing coordinates and then drawing a line.
• B. Plug in an X value to get a Y value.
• C. Graph using only the x-intercept.
• D. Draw a line without plotting any points.

Answer: (B)

Graphing an equation means finding coordinates that satisfy the equation and plotting those points on the coordinate plane, then connecting them to show the graph. For equations in the form y = f(x), a reliable approach is to substitute chosen x-values and compute the corresponding y-values. This gives you several ordered pairs (x, y) that lie on the graph. For example, if y = 2x + 1 and you pick x-values like -2, -1, 0, 1, 2, you get points (-2,-3), (-1,-1), (0,1), (1,3), (2,5). Plot these points and draw a line through them. This ensures every plotted point satisfies the equation and accurately represents the graph. The other options aren’t as effective: guessing coordinates isn’t reliable, using only the x-intercept provides just one point (not enough to define the graph), and drawing a line without plotting points requires you already know the exact line, which isn’t generally available.

Graphing an equation means finding coordinates that satisfy the equation and plotting those points on the coordinate plane, then connecting them to show the graph. For equations in the form y = f(x), a reliable approach is to substitute chosen x-values and compute the corresponding y-values. This gives you several ordered pairs (x, y) that lie on the graph. For example, if y = 2x + 1 and you pick x-values like -2, -1, 0, 1, 2, you get points (-2,-3), (-1,-1), (0,1), (1,3), (2,5). Plot these points and draw a line through them. This ensures every plotted point satisfies the equation and accurately represents the graph. The other options aren’t as effective: guessing coordinates isn’t reliable, using only the x-intercept provides just one point (not enough to define the graph), and drawing a line without plotting points requires you already know the exact line, which isn’t generally available.