Final answer:
To write the equation of a line passing through two points in slope-intercept form, identify the slope and y-intercept. In this case, the slope is 0 and the y-intercept is -6. Thus, the equation of the line is y = -6.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to find the slope (m) and the y-intercept (b).
The formula for the slope (m) is: m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line.
In this case, the coordinates of the two given points are (-14, -6) and (6, -6). Plugging these values into the slope formula, we get: m = (-6 - (-6)) / (6 - (-14)) = 0 / 20 = 0.
Since the y-coordinate stays the same for both points, the line is parallel to the x-axis, making the slope 0.
Therefore, the equation of the line is y = -6, where the y-intercept (b) is -6.
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