Pregunta
What is an equation of the line that passes through the points \( (-7,-5) \) and \( (-4,-5) \) ?
Ask by Weber Watkins. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
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The equation of the line is \( y = -5 \).
Solución
First, find the slope (m) using the two points (-7, -5) and (-4, -5). The slope formula is:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting in the values:
m = (-5 - (-5)) / (-4 - (-7)) = 0 / 3 = 0
Since the slope is 0, the line is horizontal.
A horizontal line that passes through a point with y-coordinate -5 is described by the equation:
y = -5
So, the equation of the line is y = -5.
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Simplifique esta solución The Deep Dive
The equation of the line passing through the points \((-7, -5)\) and \((-4, -5)\) can be derived easily. Since both points share the same \(y\)-coordinate of \(-5\), this indicates it’s a horizontal line. Therefore, the equation of the line is simply \(y = -5\). To visualize, imagine a straight line drawn parallel to the x-axis, cutting right through the y-coordinate of \(-5\). No matter what x value you choose, as long as it stays consistent with this horizontal line, the output will always remain \(-5\). It’s the classic definition of horizontal lines!
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