Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).. . y + 3 = −5(x − 2). . y − 2 = −5(x + 3). . y + 3 = −(x − 2). . y − 2 = −(x + 3)

Answer 1

$The\ slope-point\ form:y-y_1=m(x-x_1)\\m=\dfrac{y_2-y_1}{x_2-x_1}\\---------------------\\(-3;\ 2)\to x_1=-3\ and\ y_1=2\\(2;\ 1)\to x_2=2\ and\ y_2=1\\\\m=\dfrac{1-2}{2-(-3)}=\dfrac{-1}{5}=-\dfrac{1}{5}\\\\for\ (-3;\ 2)\\y-2=-\dfrac{1}{5}(x-(-3))\to y-2=-\dfrac{1}{5}(x+3)\\\\for\ (2;\ 1)\\y-1=-\dfrac{1}{5}(x+2)$