How do you find the intercepts for $y = \frac{3}{4} x + 4$ $y=3/4x + 4$ ?

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How do you find the intercepts for $y = \frac{3}{4} x + 4$ $y=3/4x + 4$ ?

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Answer 1 · 2015-07-24T05:16:52

y intercept $= 4$ $=4$
x intercept $= - \frac{16}{3}$ $= -16/3$

Explanation:

The y-intercept is the value of $y$ $y$ when $x = 0$ $x=0$
$XXXX$ $color(white)("XXXX")$ Setting $x = 0$ $x=0$ in the given equation:
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $y = \frac{3}{4} (0) + 4$ $y = 3/4(0) + 4$

$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $y = 4$ $y = 4$

The x-intercept is the value of $x$ $x$ when $y = 0$ $y =0$
$XXXX$ $color(white)("XXXX")$ Re-writing $y = \frac{3}{4} x + 4$ $y = 3/4x+4$ as an expression for $x$ $x$ in terms of $y$ $y$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $x = \frac{4}{3} (y - 4)$ $x = 4/3(y-4)$

$XXXX$ $color(white)("XXXX")$ Setting $y = 0$ $y=0$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $x = \frac{4}{3} (0 - 4)$ $x = 4/3(0-4)$

$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $x = - \frac{16}{3}$ $x = -16/3$

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How do you find the intercepts for $y = \frac{3}{4} x + 4$ $y=3/4x + 4$ ?

1 Answer

Explanation:

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How do you find the intercepts for $y = \frac{3}{4} x + 4$ $y=3/4x + 4$ ?