Respuesta :

Given :-

  • The slope of the line through points (3,y) and (4,10) is 7 .

To Find :-

  • The value of y .

Solution :-

As we know that the slope of the line is difference of ordinate divided by the difference of absicca as ,

[tex]\longrightarrow[/tex] m = y -10 / 3 - 4

[tex]\longrightarrow[/tex] 7 (-1) = y -10

[tex]\longrightarrow[/tex] -7 = y -10

[tex]\longrightarrow[/tex] y = 10 -7

[tex]\longrightarrow[/tex] y = 3

Hence the required answer is 3.