Find the x and y Intercepts y=8x-4

$y = 8 x - 4$

Step 1

Find the x-intercepts.

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

$0 = 8 x - 4$

Solve the equation.

Rewrite the equation as $8 x - 4 = 0$ .

$8 x - 4 = 0$

Add $4$ to both sides of the equation.

$8 x = 4$

Divide each term in $8 x = 4$ by $8$ and simplify.

Divide each term in $8 x = 4$ by $8$ .

$\frac{8 x}{8} = \frac{4}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{4}{8}$

Divide $x$ by $1$ .

$x = \frac{4}{8}$

Simplify the right side.

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$x = \frac{4 (1)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$x = \frac{4 \cdot 1}{4 \cdot 2}$

Cancel the common factor.

$x = \frac{4 \cdot 1}{4 \cdot 2}$

Rewrite the expression.

$x = \frac{1}{2}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{1}{2}, 0)$

Step 2

Find the y-intercepts.

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

$y = 8 (0) - 4$

Solve the equation.

Remove parentheses.

$y = 8 (0) - 4$

Simplify $8 (0) - 4$ .

Multiply $8$ by $0$ .

$y = 0 - 4$

Subtract $4$ from $0$ .

$y = - 4$

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(\frac{1}{2}, 0)$

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

Step 4

Find the x and y Intercepts y=8x-4

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