Question

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

Answer 1

point - slope form

y - 1 = 3 (x-0)

Explanation:

step(i):-

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

The slope of the line

`m = (y_(2)-y_(1) )/(x_(2) -x_(1) )`

`m = (y_(2)-y_(1) )/(x_(2) -x_(1) ) = (7-1)/(2-0) = (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