Find the x and y Intercepts 6x-y=5

$6 x - y = 5$

Step 1

Find the x-intercepts.

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

$6 x - (0) = 5$

Solve the equation.

Subtract $0$ from $6 x$ .

$6 x = 5$

Divide each term in $6 x = 5$ by $6$ and simplify.

Divide each term in $6 x = 5$ by $6$ .

$\frac{6 x}{6} = \frac{5}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{5}{6}$

Divide $x$ by $1$ .

$x = \frac{5}{6}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{5}{6}, 0)$

Step 2

Find the y-intercepts.

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

$6 (0) - y = 5$

Solve the equation.

Simplify $6 (0) - y$ .

Multiply $6$ by $0$ .

$0 - y = 5$

Subtract $y$ from $0$ .

$- y = 5$

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

Divide each term in $- y = 5$ by $- 1$ .

$\frac{- y}{- 1} = \frac{5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{5}{- 1}$

Divide $y$ by $1$ .

$y = \frac{5}{- 1}$

Simplify the right side.

Divide $5$ by $- 1$ .

$y = - 5$

y-intercept(s) in point form.

y-intercept(s): $(0, - 5)$

Step 3

List the intersections.

x-intercept(s): $(\frac{5}{6}, 0)$

y-intercept(s): $(0, - 5)$

Step 4

Find the x and y Intercepts 6x-y=5

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