Find the x and y Intercepts y=6x-4

$y = 6 x - 4$

Step 1

Find the x-intercepts.

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

$0 = 6 x - 4$

Solve the equation.

Rewrite the equation as $6 x - 4 = 0$ .

$6 x - 4 = 0$

Add $4$ to both sides of the equation.

$6 x = 4$

Divide each term in $6 x = 4$ by $6$ and simplify.

Divide each term in $6 x = 4$ by $6$ .

$\frac{6 x}{6} = \frac{4}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{4}{6}$

Divide $x$ by $1$ .

$x = \frac{4}{6}$

Simplify the right side.

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4$ .

$x = \frac{2 (2)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$x = \frac{2 \cdot 2}{2 \cdot 3}$

Cancel the common factor.

$x = \frac{2 \cdot 2}{2 \cdot 3}$

Rewrite the expression.

$x = \frac{2}{3}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{2}{3}, 0)$

Step 2

Find the y-intercepts.

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

$y = 6 (0) - 4$

Solve the equation.

Remove parentheses.

$y = 6 (0) - 4$

Simplify $6 (0) - 4$ .

Multiply $6$ 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): $(\frac{2}{3}, 0)$

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

Step 4

Find the x and y Intercepts y=6x-4

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