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Mnenie [13.5K]
3 years ago
9

What is the equation of a line that passing through points (-2, 5) and (3, 25)

Mathematics
1 answer:
Llana [10]3 years ago
5 0
\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad 
(\stackrel{x_2}{3}~,~\stackrel{y_2}{25})
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{25-5}{3-(-2)}\implies \cfrac{25-5}{3+2}
\\\\\\
\cfrac{20}{5}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=4[x-(-2)]
\\\\\\
y-5=4(x+2)\implies y-5=4x+8\implies y=4x+13
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Step-by-step explanation:

<u><em>There is some data missing in the question, so complete question is below:</em></u>

Sam\ and\ Lou\ need\ a\ total\ of\ 1\ foot\ of\ wire\ for\ science\ project.Sam's\ wire\ measured\ 8/12\ foot\ long.\ Lou's\ measured\ 7/8-\ foot \ \ long.Do\ they\ have\ enough\ wire\ for\ the\ science\ project?Explain \ your\ reasoning.

Now, to get that whether they have enough wire for the science project or not.

Measurement of Sam's wire = \frac{8}{12} \ foot.

Measurement of Lou's wire = \frac{7}{8}\ foot.

Now, adding both the wires of Sam and Lou:

\frac{8}{12} +\frac{7}{8} \\\\=\frac{16+21}{24} \\\\=\frac{37}{24}

=1\frac{13}{24} \ feet.

<em>As, Sam and Lou need a total of 1 foot of wire for the science project.</em>

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<em>Thus, wire they have is enough for science project.</em>

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