Questions: Question Write the equation of the line in fully simplified slope-intercept form.

Question Write the equation of the line in fully simplified slope-intercept form.
Transcript text: Question Write the equation of the line in fully simplified slope-intercept form.
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Solution

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Solution Steps

Step 1: Identify two points on the line

From the graph, we can identify two points on the line. Let's choose the points (-8, 8) and (4, -4).

Step 2: Calculate the slope (m)

The slope \( m \) is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substituting the points (-8, 8) and (4, -4): \[ m = \frac{-4 - 8}{4 - (-8)} = \frac{-12}{12} = -1 \]

Step 3: Use the slope-intercept form to find the y-intercept (b)

The slope-intercept form of a line is: \[ y = mx + b \] Using one of the points, say (-8, 8), and the slope \( m = -1 \): \[ 8 = -1(-8) + b \] \[ 8 = 8 + b \] \[ b = 0 \]

Final Answer

The equation of the line in fully simplified slope-intercept form is: \[ y = -x \]

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