Question

Find an equation of the line in the form ax+by=c whose​x-intercept is 24 and​ y-intercept is 66​, where​ a, b, and c are integers with no factor common to all​ three, a>0

Answer 1

`11x+4y=264`

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
`(y_2-y_1)/(x_2-x_1)`

Plug in the values in the formula and find out m

`(66-0)/(0-24)=-(11)/(4)`

`y=mx+b`

b is the y intercept 66

`y=-(11)/(4) x+66`

multiply the whole equation by 4

`4y=-11x+264`

add 11x on both sides

`11x+4y=264`