Answer:
the equation of the line is 7x + y = 0 .
Step-by-step explanation:
in the standard form of the line that is Ax +By = C we can write it in the form of
By = C - Ax
[tex]y = \frac{-A}{B}x +\frac{C}{B}[/tex]
which is in the form of [tex]y = mx +c[/tex]
where m is the slope of the line and c is y intercept made by the line.
comparing [tex]y = \frac{-A}{B}x +\frac{C}{B}[/tex] and [tex]y = mx +c[/tex]
we get that [tex]\frac{-A}{B} =m[/tex] and [tex]\frac{-C}{B} = c[/tex]
since it is given that slope of the line is -7 therefore m = -7 and c = 0
therefore [tex]\frac{-A}{B} =-7[/tex] and [tex]\frac{-C}{B} = 0[/tex]
therefore C = 0 , A = 7 and B = 1
therefore the equation becomes 7x + y = 0
