Find the x and y Intercepts 5x-y=1

$5 x - y = 1$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$5 x - (0) = 1$

Solve the equation.

Subtract $0$ from $5 x$ .

$5 x = 1$

Divide each term in $5 x = 1$ by $5$ and simplify.

Divide each term in $5 x = 1$ by $5$ .

$\frac{5 x}{5} = \frac{1}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{1}{5}$

Divide $x$ by $1$ .

$x = \frac{1}{5}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{1}{5}, 0)$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$5 (0) - y = 1$

Solve the equation.

Simplify $5 (0) - y$ .

Multiply $5$ by $0$ .

$0 - y = 1$

Subtract $y$ from $0$ .

$- y = 1$

Divide each term in $- y = 1$ by $- 1$ and simplify.

Divide each term in $- y = 1$ by $- 1$ .

$\frac{- y}{- 1} = \frac{1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{1}{- 1}$

Divide $y$ by $1$ .

$y = \frac{1}{- 1}$

Simplify the right side.

Divide $1$ by $- 1$ .

$y = - 1$

y-intercept(s) in point form.

y-intercept(s): $(0, - 1)$

Step 3

List the intersections.

x-intercept(s): $(\frac{1}{5}, 0)$

y-intercept(s): $(0, - 1)$

Step 4

Find the x and y Intercepts 5x-y=1

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