The general form of the line is :
[tex]y=m\cdot x+b[/tex]Where: m is the slope and b is the y - intercept
Given the equation :
[tex]y=-\frac{1}{4}x+7[/tex]So, the slope will be :
[tex]m=-\frac{1}{4}[/tex]And :
[tex]b=7[/tex]y - intercept is the value of y when x = 0
so,
the point which represents y - intercept is :
[tex](0,7)[/tex]