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

Mar 29, 2017

See the entire solution process below:

#### Explanation:

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

$y = - 4.7 x + 1.2$ becomes:

$y = \left(- 4.7 \times 0\right) + 1.2$

$y = 0 + 1.2$

$y = 1.2$

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

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

$y = - 4.7 x + 1.2$ becomes:

$0 = - 4.7 x + 1.2$

$0 - \textcolor{red}{1.2} = - 4.7 x + 1.2 - \textcolor{red}{1.2}$

$- 1.2 = - 4.7 x + 0$

$- 1.2 = - 4.7 x$

$\frac{- 1.2}{\textcolor{red}{- 4.7}} = \left(- 4.7 x\right) / \textcolor{red}{- 4.7}$

$\frac{- 1.2}{\textcolor{red}{- 4.7}} = \frac{- 4.7 x}{\textcolor{red}{- 4.7}}$

$0.255 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4.7}}} x}{\cancel{\textcolor{red}{- 4.7}}}$

$0.255 = x$

$x = 0.255$ rounded to the nearest thousandth

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