How do you find the x and y intercept of 4x+y=4?

Apr 26, 2017

Answer:

See the solution process below:

Explanation:

y-intercept:

Substitute $0$ for $x$ and solve for $y$:

$4 x + y = 4$ becomes:

$\left(4 \cdot 0\right) + y = 4$

$0 + y = 4$

$y = 4$

The y-intercept is $4$ or $\left(0 , 4\right)$

x-intercept:

Substitute $0$ for $y$ and solve for $x$:

$4 x + y = 4$ becomes:

$4 x + 0 = 4$

$4 x = 4$

$\frac{4 x}{\textcolor{red}{4}} = \frac{4}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} x}{\cancel{\textcolor{red}{4}}} = 1$

$x = 1$

The x-intercept is $1$ or $\left(1 , 0\right)$