Question

Write the equation of the line that passes through the points (1,9) and (-1,1). Put

Answer 1

Answer:

Point slope form

                 y - 9 = 4(x-1)

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0

Step-by-step explanation:

Step(i):-

Given that the points are (1,9) and (-1,1)

slope of the line

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

               m = $\frac{1-9}{-1-1}$

             m = 4

step(ii):-

Equation of the straight line passing through the point (1,9) and slope 'm' = 4

                     y-y₁ = m( x-x₁)

                   y - 9 = 4(x-1)

                  y -9 = 4x-4

           4 x - y -4+9 =0

          4 x - y +5=0

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0