Find the x and y Intercepts y=-3*7^x

$y = - 3 \cdot 7^{x}$

Find the x-intercepts.

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

$0 = - 3 \cdot 7^{x}$

Solve the equation.

Remove parentheses.

$0 = - 3 \cdot 7^{x}$

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

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

x-intercept(s): $None$

Find the y-intercepts.

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

$y = - 3 \cdot 7^{0}$

Simplify $- 3 \cdot 7^{0}$ .

Anything raised to $0$ is $1$ .

$y = - 3 \cdot 1$

Multiply $- 3$ by $1$ .

$y = - 3$

y-intercept(s) in point form.

y-intercept(s): $(0, - 3)$

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, - 3)$