Respuesta :

Answer:

The value of [tex]y = \frac{5}{4}[/tex]

Step-by-step explanation:

given slope= [tex]\frac{1}{2}[/tex]

the the points [tex](0, \frac{1}{4} )[/tex] and (2, y)  [tex](0, \frac{1}{4} )[/tex]

now, the slope of [tex](0, \frac{1}{4} )[/tex] and (2, y) are equal to [tex]\frac{1}{2}[/tex]

so     [tex]\frac{1}{2} = \frac{\frac{1}{4}-y }{0-2}[/tex]

         [tex]\frac{1}{2} = \frac{\frac{1}{4}-y }{-2}[/tex]  cross multiplication, we get

[tex]y = \frac{5}{4}[/tex]

therefore the value of [tex]y = \frac{5}{4}[/tex]