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

$7 x + y = 7$

Find the x-intercepts.

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

$7 x + 0 = 7$

Solve the equation.

Add $7 x$ and $0$ .

$7 x = 7$

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

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

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

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $7$ by $7$ .

$x = 1$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$7 (0) + y = 7$

Simplify $7 (0) + y$ .

Multiply $7$ by $0$ .

$0 + y = 7$

Add $0$ and $y$ .

$y = 7$

y-intercept(s) in point form.

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

List the intersections.

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

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