Question

Write an equation in slope-intercept form for the line that satisfies the following condition. x-intercept 8/13 and y-intercept 20/27

Answer 1

i think i remember the equation \[\frac{x}{a} + \frac{y}{b} = 1\] where a is x-intercept and b is y-intercept...so substitute!

\[\frac{x}{\frac{8}{13}} + \frac{y}{\frac{20}{27}} = 1\]
simplify...

\[\frac{13x}{8} + \frac{27y}{20} = 1\]

now multiply everything by 40 to get rid of the denominators

\[5(13x) + 2(27y) = 40\]

\[65x + 54y = 40\]

do you get it?