Answer :
Answer:
7x-4y=36
Step-by-step explanation:
From the equation of a line
[tex]y=mx+c\\m=slope\\m=\frac{y-y{1}}{x-x_{1}}\\[/tex]
where m is the slope and c is the intercept.
first we determine the slope from the given points (-4,-2) and (0,-9)
[tex]m=\frac{-2+9}{4-0}\\ m=7/4\\[/tex]
hence we can write our equation as
[tex]y=\frac{7}{4}x+c[/tex]
next we determine the value of the intercept
using the equation
[tex]y-y_{1}=m(x-x_{1})\\at point (0,-9)\\y-(-9)=m(x-0)\\y+9=\frac{7}{4}x\\4y+36=7x\\7x-4y=36[/tex]
hence option A is correct