Find the x and y Intercepts 2x-y=7

$2 x - y = 7$

Find the x-intercepts.

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

$2 x - (0) = 7$

Solve the equation.

Subtract $0$ from $2 x$ .

$2 x = 7$

Divide each term in $2 x = 7$ by $2$ and simplify.

Divide each term in $2 x = 7$ by $2$ .

$\frac{2 x}{2} = \frac{7}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{7}{2}$

Divide $x$ by $1$ .

$x = \frac{7}{2}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{7}{2}, 0)$

Find the y-intercepts.

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

$2 (0) - y = 7$

Solve the equation.

Simplify $2 (0) - y$ .

Multiply $2$ by $0$ .

$0 - y = 7$

Subtract $y$ from $0$ .

$- y = 7$

Divide each term in $- y = 7$ by $- 1$ and simplify.

Divide each term in $- y = 7$ by $- 1$ .

$\frac{- y}{- 1} = \frac{7}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{7}{- 1}$

Divide $y$ by $1$ .

$y = \frac{7}{- 1}$

Simplify the right side.

Divide $7$ by $- 1$ .

$y = - 7$

y-intercept(s) in point form.

y-intercept(s): $(0, - 7)$

List the intersections.

x-intercept(s): $(\frac{7}{2}, 0)$

y-intercept(s): $(0, - 7)$