Lets find out,
• The slope parallel to 9x+3y=6:-
[tex]m = - 3[/tex]
• Substituting,
[tex]m = - 3 \\ x = 5 \: \: \: into \\ y = 3[/tex]
So,
[tex]y = mx + b[/tex]
[tex] = > 3 = - 3 \times 5 + b[/tex]
[tex] = > 3 = - 15 + b[/tex]
[tex] = > 3 + 15 = b[/tex]
[tex] = > 18 = b[/tex]
• Substitute,
[tex]m = - 3 \\ b = 18[/tex]
Use,
[tex]y = mx + b[/tex]
[tex] = > y = - 3x + 18[/tex]
• Now rewrite y= -3x+18 in slope intercept form,
(Please check the image attached for it)
