Find the x and y Intercepts y=10x-32

$y = 10 x - 32$

Step 1

Find the x-intercepts.

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

$0 = 10 x - 32$

Solve the equation.

Rewrite the equation as $10 x - 32 = 0$ .

$10 x - 32 = 0$

Add $32$ to both sides of the equation.

$10 x = 32$

Divide each term in $10 x = 32$ by $10$ and simplify.

Divide each term in $10 x = 32$ by $10$ .

$\frac{10 x}{10} = \frac{32}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{32}{10}$

Divide $x$ by $1$ .

$x = \frac{32}{10}$

Simplify the right side.

Cancel the common factor of $32$ and $10$ .

Factor $2$ out of $32$ .

$x = \frac{2 (16)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$x = \frac{2 \cdot 16}{2 \cdot 5}$

Cancel the common factor.

$x = \frac{2 \cdot 16}{2 \cdot 5}$

Rewrite the expression.

$x = \frac{16}{5}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{16}{5}, 0)$

Step 2

Find the y-intercepts.

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

$y = 10 (0) - 32$

Solve the equation.

Remove parentheses.

$y = 10 (0) - 32$

Simplify $10 (0) - 32$ .

Multiply $10$ by $0$ .

$y = 0 - 32$

Subtract $32$ from $0$ .

$y = - 32$

y-intercept(s) in point form.

y-intercept(s): $(0, - 32)$

Step 3

List the intersections.

x-intercept(s): $(\frac{16}{5}, 0)$

y-intercept(s): $(0, - 32)$

Step 4

Find the x and y Intercepts y=10x-32

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