Question

: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slope form. State the slope. Point One: (1,2) Point Two: (0,−1)

Answer 1

Answer:

           slope:      $\bold{m=3}$

      equation:     $\bold{y-2=3(x-1)}$

Step-by-step explanation:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(1,\,2)\ \implies\ x_1=1\,,\ y_1=2\\(0,\,-1)\ \implies\ x_2=0\,,\ y_2=-1\\\\m=\dfrac{-1-2}{0-1}=\dfrac{-3}{-1}=3$

$y-y_1=m(x-x_1)$      - point-slope form of Equation of the Line

$x_1=1\,,\ y_1=2\,,\ m=3\\\\equation:\\{}\qquad\qquad y-2=3(x-1)$