for 1)
[tex]\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -7}}\quad ,&{{ 0}})\quad
% (c,d)
\end{array}
\\\quad \\\\ % slope = m
slope = {{\boxed{ m}}}= \cfrac{rise}{run} \implies
\implies -\cfrac{3}{5}
\\ \quad \\\\
% point-slope intercept
y-{{ y_1}}={{\boxed{ m}}}(x-{{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}[/tex]
for 2)
[tex]\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -3}}\quad ,&{{ 17}})\quad
% (c,d)
&({{ -7}}\quad ,&{{ 37}})
\end{array}
\\\quad \\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}
\\ \quad \\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}[/tex]
then change the y= part to f(x) =
