Question

Write the equation of the line in point-slope form that goes through the points (0, 1) and (2, 7)

Answer 1

Answer:

point - slope form

 y - 1 = 3 (x-0)

Step-by-step explanation:

step(i):-

Given points are (0,1) and (2,7)

The slope of the line

     $m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

    $m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{7-1}{2-0} = \frac{6}{2} = 3$

  m =3

Step(ii):-

point -slope form

   y - y₁ = m(x-x₁)

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3

   y - 1 = 3 (x-0)

  y -1 = 3x

 3x - y +1=0

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0