1. Standard form : ax + by = c
Equation
(x/a) + (y/b) = 1
let a: x-intercept
let b: y-intercept
(x/3) + (y/6) = 1
y has a denominator or 6, multiply to remove the denominator
(6x/3) + (6y/6) = 6, simplify
Answer: 2x + y = 6
2. Slope-intercept form: y=mx+b
(x/8)+(y/4) = 1
LCD of 8 and 4 is 8, multiply by 8 to remove denominator
x + 2y = 8
convert to slope intercept form
2y = x + 8
Answer: y = -(1/2)x + 8
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Answers & Comments
1. Standard form : ax + by = c
Equation
(x/a) + (y/b) = 1
let a: x-intercept
let b: y-intercept
(x/3) + (y/6) = 1
y has a denominator or 6, multiply to remove the denominator
(6x/3) + (6y/6) = 6, simplify
Answer: 2x + y = 6
2. Slope-intercept form: y=mx+b
(x/8)+(y/4) = 1
LCD of 8 and 4 is 8, multiply by 8 to remove denominator
x + 2y = 8
convert to slope intercept form
2y = x + 8
Answer: y = -(1/2)x + 8