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

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

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