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

$y = - 2 x + 7$

Step 1

Find the x-intercepts.

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

$0 = - 2 x + 7$

Solve the equation.

Rewrite the equation as $- 2 x + 7 = 0$ .

$- 2 x + 7 = 0$

Subtract $7$ from both sides of the equation.

$- 2 x = - 7$

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 $1$ .

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

Simplify the right side.

Dividing two negative values results in a positive value.

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

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$y = - 2 \cdot 0 + 7$

Solve the equation.

Remove parentheses.

$y = - 2 \cdot 0 + 7$

Simplify $- 2 \cdot 0 + 7$ .

Multiply $- 2$ by $0$ .

$y = 0 + 7$

Add $0$ and $7$ .

$y = 7$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4