What are the intercepts of $7 x + 16 y = 4$ $7x+16y=4$ ?

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What are the intercepts of $7 x + 16 y = 4$ $7x+16y=4$ ?

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Answer 1 · 2018-04-14T12:34:51

$x-intercept = a = \frac{4}{7}, y-intercept = b = \frac{1}{4}$ $color(indigo)("x-intercept " = a = 4/7, " y-intercept " = b = 1/4$

Explanation:

$7 x + 16 y = 4$ $7x + 16y = 4$

![https://www.onlinemathlearning.com/http://forms-linear-equations.html](https://useruploads.socratic.org/MaglOHMS6ycaMc1Fpywp_forms-equation-of-line.png)

Intercept form of standard equation is $\frac{x}{a} + \frac{y}{b} = 1$ $x / a + y / b = 1$

$(\frac{7}{4}) x + (\frac{16}{4}) y = 1$ $(7/4)x + (16/4) y = 1$

$\frac{x}{\frac{4}{7}} + \frac{y}{\frac{1}{4}} = 1$ $x / (4/7) + y / (1/4) = 1$

$x-intercept = a = \frac{4}{7}, y-intercept = b = \frac{1}{4}$ $color(indigo)("x-intercept " = a = 4/7, " y-intercept " = b = 1/4$

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What are the intercepts of $7 x + 16 y = 4$ $7x+16y=4$ ?

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