Find the x and y Intercepts y=6x-3

$y = 6 x - 3$

Find the x-intercepts.

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

$0 = 6 x - 3$

Solve the equation.

Rewrite the equation as $6 x - 3 = 0$ .

$6 x - 3 = 0$

Add $3$ to both sides of the equation.

$6 x = 3$

Divide each term in $6 x = 3$ by $6$ and simplify.

Divide each term in $6 x = 3$ by $6$ .

$\frac{6 x}{6} = \frac{3}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{3}{6}$

Divide $x$ by $1$ .

$x = \frac{3}{6}$

Simplify the right side.

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

$x = \frac{3 (1)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$x = \frac{3 \cdot 1}{3 \cdot 2}$

Cancel the common factor.

$x = \frac{3 \cdot 1}{3 \cdot 2}$

Rewrite the expression.

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

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$y = 6 (0) - 3$

Solve the equation.

Remove parentheses.

$y = 6 (0) - 3$

Simplify $6 (0) - 3$ .

Multiply $6$ by $0$ .

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

y-intercept(s) in point form.

y-intercept(s): $(0, - 3)$

List the intersections.

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

y-intercept(s): $(0, - 3)$

Find the x and y Intercepts y=6x-3

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