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=(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=(1-2)/(2-(-3))=(-1)/(5)=-(1)/(5)\\\\for\ (-3;\ 2)\\y-2=-(1)/(5)(x-(-3))\to y-2=-(1)/(5)(x+3)\\\\for\ (2;\ 1)\\y-1=-(1)/(5)(x+2)`