Question

1. y intercept 3; m = -\frac{2}{5}

Explanation:

Identify the given information

We are given:

• The \(y\)-intercept: \((0, 3)\)
• The slope: \(m = -\frac{2}{5}\)

Plot the y-intercept

Using the Graphing Linear Equations knowledge point

$$ \text{Plot the point } (0, 3) \text{ on the } y\text{-axis.} $$

Find a second point using the slope

Using the Graphing Linear Equations knowledge point

$$
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$$

Draw the line

Using the Graphing Linear Equations knowledge point

$$ \text{Draw a straight line passing through } (0, 3) \text{ and } (5, 1). $$

Answer:

To graph the line:

1. Plot the \(y\)-intercept at \((0, 3)\).
2. Use the slope \(m = -\frac{2}{5}\) (rise of \(-2\), run of \(5\)) to find a second point at \((5, 1)\).
3. Draw a straight line through both points.