Respuesta :

Answer:

1/4

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 4 -3)/( 6-2)

   = 1/4

GIVEN :-

  • Coordinates of first point on the line are (2,3)

  • Coordinates of second point on the line are (6,4)

TO FIND :–

  • Slope of a line

Formula :-

⠀⠀⠀⠀[tex]\boxed{\sf{m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} }}[/tex]

where,

  • m = slope of a line

  • x2 and y2 = (6,4)

  • x1 and y1 = (2,3)

By substituting values according to the formula we get,

[tex]\sf{⟹m = \dfrac{4 - 3}{6 - 2} }[/tex]

[tex]\sf{⟹m = \dfrac{1}{4} }[/tex]

Hence, The line of a slope(m) is ¼