Question

Use the points A(3,-2) and B(-1,-6) to answer the question.

* What is the equation of line AB in slope-intercept from?*
Y-intercept passes through -5, and X-intercept passes through 5.
A- y=x+5
B- y=5x-5
C- y=x-5
D- y=5x+1

Answer 1

`\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &A&(~ 3 &,& -2~) &B&(~-1 &,& -6~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-6-(-2)}{-1-3}\implies \cfrac{-6+2}{-1-3}\implies 1 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=1(x-3)\implies y+2=x-3 \\\\\\ y=x-3-2\implies y=x-5`