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

Question

lgbasallote · Answer

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?

anonymous · Answer

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