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Len [333]
3 years ago
11

The equation of the line goes through the points (0,5) and (10,0) expain what these points represents in the context of the situ

ation
Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

The equation would be y = -1/2x + 5

Step-by-step explanation:

To find the equation, we first need to use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(0 - 10)

m = 5/-10

m = -1/2

Now that we have that, we can use that and a point to find the full equation.

y - y1 = m(x - x1)

y - 0 = -1/2(x - 10)

y = -1/2x + 5

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Last math question.
siniylev [52]

Answer:

<h2>y = 5x + 11</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================

\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=5.\\\\\text{Put the value of the slope and the coordinates of the given point (-2, 1)}\\\text{to the equation of a line:}\\\\1=5(-2)+b\\1=-10+b\qquad\text{add 10 to both sides}\\1+10=-10+10+b\\11=b\to b=11\\\\\text{Finally:}\\\\y=5x+11

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