Question

graphing lines from equations

question

graph the line with the equation
\\(y = -x + 5\\).

Explanation:

Identify slope and y-intercept

$$
LATEXBLOCK0
$$

Determine key points on the line

$$
LATEXBLOCK1
$$

Plot the line

$$ \text{Draw a straight line passing through } (0, 5) \text{ and } (5, 0). $$

Answer:

To graph the line \(y = -x + 5\), plot the y-intercept at \((0, 5)\) and a second point using the slope \(m = -1\), such as \((5, 0)\) or \((1, 4)\), then draw a straight line through these points.