Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(1)
y = 3x + 4 is in this form
with slope m = 3 and y-intercept c = 4
(2)
y = - [tex]\frac{3}{7}[/tex] x - [tex]\frac{1}{7}[/tex] is in this form
with slope m = - [tex]\frac{3}{7}[/tex] and y-in tercept c = - [tex]\frac{1}{7}[/tex]
(3)
rearrange 3x + y = - 4 into slope-intercept form
subtract 3x from both sides
y = - 3x - 4 ← in slope-intercept form
with slope m = - 3 and y-intercept c = - 4