Question

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

Answer 1

y = -4/5 + 7, the 7 is the slope intercept and the -4/5 is the slope

Answer 2

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
Answer:
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