Questions: Write an equation of the line below.

Write an equation of the line below.
Transcript text: Write an equation of the line below.
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Solution

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Solution Steps

Step 1: Identify two points on the line

From the graph, identify two points that the line passes through. For example, let's use the points (0, 2) and (4, -1).

Step 2: Calculate the slope (m)

Use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \): \[ m = \frac{-1 - 2}{4 - 0} = \frac{-3}{4} = -\frac{3}{4} \]

Step 3: Use the slope-intercept form (y = mx + b)

The slope-intercept form of a line is \( y = mx + b \). We already have the slope \( m = -\frac{3}{4} \) and one point (0, 2), which is the y-intercept \( b \).

Final Answer

The equation of the line is: \[ y = -\frac{3}{4}x + 2 \]

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