Question

algebra

Answer 1

@Alphabet_Sam

Answer 2

hint:
we can find the slope \(m\) of the line, using this formula:
\[m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}} = \frac{{47 - 15}}{{7 - 1}}=...?\]
after that, we can apply this formula, in order to write the complete equation of the line:

\[y - 47 = m\left( {x - 7} \right)\]

Answer 3

x=7+y/m−47/m

Answer 4

please, you have to compute the value of \(m\) first

Answer 5

that its solve already in the picture 16/3

Answer 6

yes! I know. Please now replace \(m=16/3\) into the second formula:

Answer 7

hint:
\[y - 47 = m\left( {x - 7} \right) = \frac{{16}}{3} \cdot \left( {x - 7} \right)\]

Answer 8

112/3

Answer 9

correct! If we apply the distributive property at the right side, we get:
\[\begin{gathered}
y - 47 = m\left( {x - 7} \right) = \frac{{16}}{3} \cdot \left( {x - 7} \right) = \hfill \\
\hfill \\
= \frac{{16}}{3}x - \frac{{112}}{3} \hfill \\
\end{gathered} \]
then we can write:
\[y - 47 = \frac{{16}}{3}x - \frac{{112}}{3}\]
now I add 47 to both sides, so I get:
\[y - 47 + 47 = \frac{{16}}{3}x - \frac{{112}}{3} + 47\]
please simplify

Answer 10

what is \(-47+47=...?\)

Answer 11

y=16/3x+29/3

Answer 12

that's right!