: 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)

Respuesta :

Answer:

           slope:      [tex]\bold{m=3}[/tex]

      equation:     [tex]\bold{y-2=3(x-1)}[/tex]

Step-by-step explanation:

[tex]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[/tex]

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex]x_1=1\,,\ y_1=2\,,\ m=3\\\\equation:\\{}\qquad\qquad y-2=3(x-1)[/tex]