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Phantasy [73]
4 years ago
13

A line with a slope of 0 passes through the point (-5, 6) . what is its equationin slope -intercept form?

Mathematics
1 answer:
IrinaVladis [17]4 years ago
3 0

y = 6
the equation is the horizontal line which parts through (-5,6), since it has no slope.
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Step-by-step explanation:

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ad-work [718]

Answer:

\large\boxed{y=-\dfrac{1}{3}x+1}

Step-by-step explanation:

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\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=======================\\\\\text{We must find the slope of the given line.}\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the coordinates of the given points from the graph (0, 1) and (-3, 2)}\\\\m_1=\dfrac{2-1}{-3-0}=\dfrac{1}{-3}=-\dfrac{1}{3}

\text{We have an equation:}\\\\y=-\dfrac{1}{3}x+b\\\\\text{From the coordinates of the point (0, 1) we have the y-intercept:}\ b=1.\\\\\text{Therefore we have the equation:}\\\\y=-\dfrac{1}{3}x+1

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