Question

The slope of a line is -1÷5 and the y-intercept is (0,6).what is the equation of the line in this slope-intercept form?

Answer 1

The equation of a linear function is y=mx+b

The point is to calculate b, since m is given (slope=-1/5) & x & y are given x=0 & y=6 [from the intercept value that is (x=0, & y=6). Plug in: y=mx+b

6=(-1/5) x (0) +b ===> b=6

& the final equation is y=(-1/5)x + 6

Answer 2

Y= -1/5 x+ 6

remember that slope intercept form is y=mx+b
the m is the slope and the b is the y value in (0,6) aka y-intercept 
 so all you have to do is swap the slope given with m and swap the b with the y-intercept