Write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (0,7)

For this case, the first thing you should do is write the generic equation of the line.
 We have then:
 y-yo = m (x-xo)
 The slope of the line will be:
 m = -4 / 5
 The ordered pair is:
 (xo, yo) = (0, 7)
 Substituting the values:
 y-7 = (- 4/5) * (x-0)
 Rewriting:
 y = (- 4/5) x + 7
 
 An equation in slope-intercept for the line that has a slope of -4/5 and passes through (0,7) is:
 y = (- 4/5) x + 7

They are somewhat similar