WHAT IS THE SLOPE AND Y-INTERCEPT OF THE LINE

7-1/5y-3x =

If you mean:

7 - (1/5) y - 3x = 0
when y = 0, x = 7/3, that is the x axis intercept
when x = 0, y = 35, that is the y axis intercept
to find the slope move the y to the right by adding y/5 to both sides
y/5 = 7 - 3 x multiply both sides by 5
y = -15 x + 35
that is now in the form
y = m x + b
where m, the slope, is -15