 # One way to find the formula of a line passing through (15,16) and (30,25) is by York 2021-09-20 Answered

One way to find the formula of a line passing through (15,16) and (30,25) is by using a table, as shown below. Complete parts (a) and (b) below.
a) Complete the box in the first row.
$\begin{array}{|cc|}\hline x& y\\ 0& \\ 15& 16\\ 30& 25\\ \hline\end{array}$
b) Report the formula of the line in slope-intercept form.
$y=$___$+x$___

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Step 1
line passing through point
$\left(15,16\right)\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\left(30,25\right)$
The equation of line is given by
$\frac{x-15}{30-15}=\frac{y-16}{25-16}$
$\frac{x-15}{15}=\frac{y-16}{9}$
$x-15=\frac{5}{3}y-16$
$3x-45=5y-80$
$3x+35=5y$
$y=\frac{3}{5}x+7$
$y=0.6x+7$
Step 2
a) Complete box.
$\begin{array}{|cc|}\hline x& y\\ 0& 7\\ 15& 16\\ 30& 25\\ \hline\end{array}$
b) Report line in slope-intercept form $y=0.6x+7$.