Question

Find the slope and Please write your answer in slope-intercept form.

Answer 1

Check the picture below

so.. .if we use those 2 points, from the "best fit line"


$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 10}}\quad ,&{{ 20}})\quad % (c,d) &({{ 20}}\quad ,&{{ 40}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{40-20}{20-10}\implies \cfrac{20}{10}\implies 2$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \begin{cases} y_1=20\\ x_1=10\\ m=2 \end{cases}\\ \end{array}\implies y-20=2(x-10)\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y-20=2x-20\implies y=2x-20+20\implies \boxed{y = 2x}$