Find the x and y Intercepts y=-3/5x+1

$y = - \frac{3}{5} x + 1$

Find the x-intercepts.

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

$0 = - \frac{3}{5} x + 1$

Solve the equation.

Rewrite the equation as $- \frac{3}{5} x + 1 = 0$ .

$- \frac{3}{5} x + 1 = 0$

Simplify each term.

Combine $x$ and $\frac{3}{5}$ .

$- \frac{x \cdot 3}{5} + 1 = 0$

Move $3$ to the left of $x$ .

$- \frac{3 x}{5} + 1 = 0$

Subtract $1$ from both sides of the equation.

$- \frac{3 x}{5} = - 1$

Multiply both sides of the equation by $- \frac{5}{3}$ .

$- \frac{5}{3} (- \frac{3 x}{5}) = - \frac{5}{3} \cdot - 1$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{3} (- \frac{3 x}{5})$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$\frac{- 5}{3} (- \frac{3 x}{5}) = - \frac{5}{3} \cdot - 1$

Move the leading negative in $- \frac{3 x}{5}$ into the numerator.

$\frac{- 5}{3} \cdot \frac{- 3 x}{5} = - \frac{5}{3} \cdot - 1$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{3} \cdot \frac{- 3 x}{5} = - \frac{5}{3} \cdot - 1$

Cancel the common factor.

$\frac{5 \cdot - 1}{3} \cdot \frac{- 3 x}{5} = - \frac{5}{3} \cdot - 1$

Rewrite the expression.

$\frac{- 1}{3} (- 3 x) = - \frac{5}{3} \cdot - 1$

Cancel the common factor of $3$ .

Factor $3$ out of $- 3 x$ .

$\frac{- 1}{3} (3 (- x)) = - \frac{5}{3} \cdot - 1$

Cancel the common factor.

$\frac{- 1}{3} (3 (- x)) = - \frac{5}{3} \cdot - 1$

Rewrite the expression.

$- - x = - \frac{5}{3} \cdot - 1$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{5}{3} \cdot - 1$

Multiply $x$ by $1$ .

$x = - \frac{5}{3} \cdot - 1$

Simplify the right side.

Multiply $- \frac{5}{3} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$x = 1 (\frac{5}{3})$

Multiply $\frac{5}{3}$ by $1$ .

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

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$y = - \frac{3}{5} \cdot 0 + 1$

Solve the equation.

Remove parentheses.

$y = - \frac{3}{5} \cdot 0 + 1$

Simplify $- \frac{3}{5} \cdot 0 + 1$ .

Multiply $- \frac{3}{5} \cdot 0$ .

Multiply $0$ by $- 1$ .

$y = 0 (\frac{3}{5}) + 1$

Multiply $0$ by $\frac{3}{5}$ .

$y = 0 + 1$

Add $0$ and $1$ .

$y = 1$

y-intercept(s) in point form.

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

List the intersections.

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

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

Find the x and y Intercepts y=-3/5x+1

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