Find the x and y Intercepts -5/2x+y=10

$- \frac{5}{2} x + y = 10$

Find the x-intercepts.

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

$- \frac{5}{2} x + 0 = 10$

Solve the equation.

Simplify $- \frac{5}{2} x + 0$ .

Add $- \frac{5}{2} x$ and $0$ .

$- \frac{5}{2} x = 10$

Combine $x$ and $\frac{5}{2}$ .

$- \frac{x \cdot 5}{2} = 10$

Move $5$ to the left of $x$ .

$- \frac{5 x}{2} = 10$

Multiply both sides of the equation by $- \frac{2}{5}$ .

$- \frac{2}{5} (- \frac{5 x}{2}) = - \frac{2}{5} \cdot 10$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{2}{5} (- \frac{5 x}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{5}$ into the numerator.

$\frac{- 2}{5} (- \frac{5 x}{2}) = - \frac{2}{5} \cdot 10$

Move the leading negative in $- \frac{5 x}{2}$ into the numerator.

$\frac{- 2}{5} \cdot \frac{- 5 x}{2} = - \frac{2}{5} \cdot 10$

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{5} \cdot \frac{- 5 x}{2} = - \frac{2}{5} \cdot 10$

Cancel the common factor.

$\frac{2 \cdot - 1}{5} \cdot \frac{- 5 x}{2} = - \frac{2}{5} \cdot 10$

Rewrite the expression.

$\frac{- 1}{5} (- 5 x) = - \frac{2}{5} \cdot 10$

Cancel the common factor of $5$ .

Factor $5$ out of $- 5 x$ .

$\frac{- 1}{5} (5 (- x)) = - \frac{2}{5} \cdot 10$

Cancel the common factor.

$\frac{- 1}{5} (5 (- x)) = - \frac{2}{5} \cdot 10$

Rewrite the expression.

$- - x = - \frac{2}{5} \cdot 10$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{2}{5} \cdot 10$

Multiply $x$ by $1$ .

$x = - \frac{2}{5} \cdot 10$

Simplify the right side.

Simplify $- \frac{2}{5} \cdot 10$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{2}{5}$ into the numerator.

$x = \frac{- 2}{5} \cdot 10$

Factor $5$ out of $10$ .

$x = \frac{- 2}{5} \cdot (5 (2))$

Cancel the common factor.

$x = \frac{- 2}{5} \cdot (5 \cdot 2)$

Rewrite the expression.

$x = - 2 \cdot 2$

Multiply $- 2$ by $2$ .

$x = - 4$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$- \frac{5}{2} \cdot 0 + y = 10$

Simplify $- \frac{5}{2} \cdot 0 + y$ .

Multiply $- \frac{5}{2} \cdot 0$ .

Multiply $0$ by $- 1$ .

$0 (\frac{5}{2}) + y = 10$

Multiply $0$ by $\frac{5}{2}$ .

$0 + y = 10$

Add $0$ and $y$ .

$y = 10$

y-intercept(s) in point form.

y-intercept(s): $(0, 10)$

List the intersections.

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

y-intercept(s): $(0, 10)$

Find the x and y Intercepts -5/2x+y=10

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