Find the x and y Intercepts y=8x-18

$y = 8 x - 18$

Step 1

Find the x-intercepts.

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

$0 = 8 x - 18$

Solve the equation.

Rewrite the equation as $8 x - 18 = 0$ .

$8 x - 18 = 0$

Add $18$ to both sides of the equation.

$8 x = 18$

Divide each term in $8 x = 18$ by $8$ and simplify.

Divide each term in $8 x = 18$ by $8$ .

$\frac{8 x}{8} = \frac{18}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{18}{8}$

Divide $x$ by $1$ .

$x = \frac{18}{8}$

Simplify the right side.

Cancel the common factor of $18$ and $8$ .

Factor $2$ out of $18$ .

$x = \frac{2 (9)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$x = \frac{2 \cdot 9}{2 \cdot 4}$

Cancel the common factor.

$x = \frac{2 \cdot 9}{2 \cdot 4}$

Rewrite the expression.

$x = \frac{9}{4}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{9}{4}, 0)$

Step 2

Find the y-intercepts.

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

$y = 8 (0) - 18$

Solve the equation.

Remove parentheses.

$y = 8 (0) - 18$

Simplify $8 (0) - 18$ .

Multiply $8$ by $0$ .

$y = 0 - 18$

Subtract $18$ from $0$ .

$y = - 18$

y-intercept(s) in point form.

y-intercept(s): $(0, - 18)$

Step 3

List the intersections.

x-intercept(s): $(\frac{9}{4}, 0)$

y-intercept(s): $(0, - 18)$

Step 4

Find the x and y Intercepts y=8x-18

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