Find the x and y Intercepts y=(3x)/5+4

$y = \frac{3 x}{5} + 4$

Find the x-intercepts.

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

$0 = \frac{3 x}{5} + 4$

Solve the equation.

Rewrite the equation as $\frac{3 x}{5} + 4 = 0$ .

$\frac{3 x}{5} + 4 = 0$

Subtract $4$ from both sides of the equation.

$\frac{3 x}{5} = - 4$

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

$\frac{5}{3} \cdot \frac{3 x}{5} = \frac{5}{3} \cdot - 4$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} \cdot \frac{3 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 x}{5} = \frac{5}{3} \cdot - 4$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{5}{3} \cdot - 4$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{5}{3} \cdot - 4$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{5}{3} \cdot - 4$

Rewrite the expression.

$x = \frac{5}{3} \cdot - 4$

Simplify the right side.

Simplify $\frac{5}{3} \cdot - 4$ .

Multiply $\frac{5}{3} \cdot - 4$ .

Combine $\frac{5}{3}$ and $- 4$ .

$x = \frac{5 \cdot - 4}{3}$

Multiply $5$ by $- 4$ .

$x = \frac{- 20}{3}$

Move the negative in front of the fraction.

$x = - \frac{20}{3}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{20}{3}, 0)$

Find the y-intercepts.

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

$y = \frac{3 (0)}{5} + 4$

Solve the equation.

Remove parentheses.

$y = \frac{3 (0)}{5} + 4$

Simplify $\frac{3 (0)}{5} + 4$ .

Multiply $3$ by $0$ .

$y = \frac{0}{5} + 4$

Divide $0$ by $5$ .

$y = 0 + 4$

Add $0$ and $4$ .

$y = 4$

y-intercept(s) in point form.

y-intercept(s): $(0, 4)$

List the intersections.

x-intercept(s): $(- \frac{20}{3}, 0)$

y-intercept(s): $(0, 4)$

Find the x and y Intercepts y=(3x)/5+4

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