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

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Answer 1 · 2015-10-29T23:37:54

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

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

$y = - 5 x + 5$ $y=-5x+5$

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

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

$0 = - 5 x + 5$ $0=-5x+5$

Add $5 x$ $5x$ to both sides.

$5 x = 5$ $5x=5$

Divide both sides by $5$ $5$ .

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

$x = 1$ $x=1$

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

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

Substitute $0$ $0$ for $x$ $x$ .

$y = - 5 x + 5$ $y=-5x+5$

$y = - 5 (0) + 5 =$ $y=-5(0)+5=$

$y = 5$ $y=5$

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

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

How do you find the x and y intercept given 5x+y=55x+y=5?