The form we want is:
$${\mathtt{y}} = {\mathtt{mx}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}$$
m = Δy/Δx
Δy = $$y_{2}$$-$$y_{1}$$
Δx = $$x_{2}$$-$$x_{1}$$
$${\mathtt{m}} = {\frac{\left({\mathtt{\,-\,}}{\mathtt{4}}{\mathtt{\,-\,}}{\mathtt{5}}\right)}{\left({\mathtt{\,-\,}}{\mathtt{8}}{\mathtt{\,-\,}}{\mathtt{4}}\right)}}$$
So m = 0.75.
$${\mathtt{b}} = {\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{mx}}$$
We take one of the points and insert its coordinates into y and x.
b = 5 - 0.75 * 4 = 17
So the form is $${\mathtt{y}} = {\mathtt{0.75}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{17}}$$
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