Question

graphing lines from equations

question

graph the line with the equation
\\(y = x - 3\\).

Explanation:

Identify slope and y-intercept

$$
LATEXBLOCK0
$$

Determine key points

$$
LATEXBLOCK1
$$

Draw the line

$$ \text{Plot } (0, -3) \text{ and } (3, 0)\text{, then draw the straight line passing through them.} $$

Answer:

To graph the line \(y = x - 3\):

1. Plot the \(y\)-intercept at \((0, -3)\).
2. Use the slope \(m = 1\) (rise 1, run 1) to find another point, such as \((3, 0)\) or \((1, -2)\).
3. Draw a straight line passing through these points.