Question

Write the linear equation in slope-intercept form?​

Answer 1

$\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-11)}{-2-(-5)}\implies \cfrac{1+11}{-2+5}\implies \cfrac{12}{3}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-11)=4[x-(-5)]\implies y+11=4(x+5) \\\\\\ y+11=4x+20\implies y=4x+9$

Answer 2

Answer:

y=4x+9

Step-by-step explanation:

go to this website to help yourself understand how to do this

https://www.emathhelp.net/calculators/algebra-1/slope-intercept-form-calculator-with-two-points/?px=-5&py=-11&qx=-2&qy=1&steps=on