Question

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

Answer 1

See the entire solution process below:

Explanation:

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)`