Find the x and y Intercepts y=-5x+3

$y = - 5 x + 3$

Find the x-intercepts.

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

$0 = - 5 x + 3$

Solve the equation.

Rewrite the equation as $- 5 x + 3 = 0$ .

$- 5 x + 3 = 0$

Subtract $3$ from both sides of the equation.

$- 5 x = - 3$

Divide each term in $- 5 x = - 3$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 3$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 3}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 3}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{3}{5}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{3}{5}, 0)$

Find the y-intercepts.

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

$y = - 5 \cdot 0 + 3$

Solve the equation.

Remove parentheses.

$y = - 5 \cdot 0 + 3$

Simplify $- 5 \cdot 0 + 3$ .

Multiply $- 5$ by $0$ .

$y = 0 + 3$

Add $0$ and $3$ .

$y = 3$

y-intercept(s) in point form.

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

List the intersections.

x-intercept(s): $(\frac{3}{5}, 0)$

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