Question

Plz help

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 3}}\quad ,&{{7}})\quad % (c,d) &({{ 4}}\quad ,&{{ 9}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{9-7}{4-3}\implies \cfrac{2}{1}\implies 2$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=2(x-3)\implies y-7=2x-6 \\\\\\ y=2x+1\qquad \qquad \qquad \qquad \qquad \qquad \stackrel{standard~form}{-2x+y=1}$