Answer:
[tex]11x+4y=264[/tex]
Step-by-step explanation:
an equation of the line in the form ax+by=c
y intercept is 66. at y intercept x is 0 . so y intercept point is (0,66)
x intercept is 24. at x intercept y is 0 . so x intercept point is (24,0)
slope m formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the values in the formula and find out m
[tex]\frac{66-0}{0-24}=-\frac{11}{4}[/tex]
[tex]y=mx+b[/tex]
b is the y intercept 66
[tex]y=-\frac{11}{4} x+66[/tex]
multiply the whole equation by 4
[tex]4y=-11x+264[/tex]
add 11x on both sides
[tex]11x+4y=264[/tex]
