Question

Find the point-slope form of the equation of the line passing through the points (–1, –3) and (4, 1).

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&(-1\quad ,&-3)\quad &(4\quad ,&1)
\end{array}
\\\quad \\

slope = m= \cfrac{rise}{run} \implies \cfrac{y_2-y_1}{x_2-x_1}
\\ \quad \\

y-y_1=m(x-x_1)\qquad \textit{plug in your values}\)

Answer 2

1-(-3)/4-(-1)=4/5 this is your slope so now take either points above to solve equation

y-1=4/5(x-4)
y=1+4/5x-16/5

y=4/5x-11/5