Question

PLEASE HELP !

Determine the equation of this line, pitting your answer in the form Ax + By + C = 0, where A B C are intergers.
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Answer 1

5x + 4y - 20 = 0

Explanation:

1. Find the two points given: (0,5) and (4,0)

2. Find the slope of the line:

m =
`(5-0)/(0-4) = (-5)/(4)`

3. Find y intercept by plugging in one point into the y-intercept form

y = (-5/4) x + b

0 = (-5/4) (4) + b

b = 5

4. Write out the equation in y-intercept form

y = (-5/4) x + 5

5. Rewrite it in Ax + By + C = 0 form

(5/4) x + y - 5 = 0

6. Since A B C all need to be integers, multiply the whole equation by 4

5x + 4y - 20 = 0