How do you find the x and y intercept of $y=-4.7x+1.2$ ?

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Answer 1 · 2017-03-29T01:15:31

See the entire solution process below:

y-INTERCEPT) To find the y-intercept, set $x$ equal to $0$ and calculate $y$ ;

$y = -4.7x + 1.2$ becomes:

$y = (-4.7 xx 0) + 1.2$

$y = 0 + 1.2$

$y = 1.2$

The y-intercept is $1.2$ or $(0, 1.2)$

x-INTERCEPT) To find the x-intercept, set $y$ equal to $0$ and solve for $x$ ;

$y = -4.7x + 1.2$ becomes:

$0 = -4.7x + 1.2$

$0 - color(red)(1.2) = -4.7x + 1.2 - color(red)(1.2)$

$-1.2 = -4.7x + 0$

$-1.2 = -4.7x$

$(-1.2)/color(red)(-4.7) = (-4.7x)//color(red)(-4.7)$

$(-1.2)/color(red)(-4.7) = (-4.7x)/color(red)(-4.7)$

$0.255 = (color(red)(cancel(color(black)(-4.7)))x)/cancel(color(red)(-4.7))$

$0.255 = x$

$x = 0.255$ rounded to the nearest thousandth

The x-intercept is $0.255$ or $(0.255, 0)$

How do you find the x and y intercept of y=-4.7x+1.2y=-4.7x+1.2?