# How do you find the x and y intercept given 5x+y=5?

Oct 29, 2015

The x-intercept is $1$ and the point is $\left(1 , 0\right)$.
The y-intercept is $5$ and the point is $\left(0 , 5\right)$.

#### Explanation:

Solve $5 x + y = 5$ for $y$.

$y = - 5 x + 5$

X-intercept:*The value of $x$ when $y = 0$.

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

$0 = - 5 x + 5$

Add $5 x$ to both sides.

$5 x = 5$

Divide both sides by $5$.

$x = \frac{5}{5} =$

$x = 1$

The point for the x-intercept is $\left(1 , 0\right)$.

Y-Intercept:*The value of $y$ when $x = 0$.

Substitute $0$ for $x$.

$y = - 5 x + 5$

$y = - 5 \left(0\right) + 5 =$

$y = 5$

The point for the y-intercept is $\left(0 , 5\right)$.

graph{y=-5x+5 [-18.4, 12.39, -6.66, 8.74]}