Find the x and y Intercepts y=6x+13

$y = 6 x + 13$

Step 1

Find the x-intercepts.

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

$0 = 6 x + 13$

Solve the equation.

Rewrite the equation as $6 x + 13 = 0$ .

$6 x + 13 = 0$

Subtract $13$ from both sides of the equation.

$6 x = - 13$

Divide each term in $6 x = - 13$ by $6$ and simplify.

Divide each term in $6 x = - 13$ by $6$ .

$\frac{6 x}{6} = \frac{- 13}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 13}{6}$

Divide $x$ by $1$ .

$x = \frac{- 13}{6}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{13}{6}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{13}{6}, 0)$

Step 2

Find the y-intercepts.

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

$y = 6 (0) + 13$

Solve the equation.

Remove parentheses.

$y = 6 (0) + 13$

Simplify $6 (0) + 13$ .

Multiply $6$ by $0$ .

$y = 0 + 13$

Add $0$ and $13$ .

$y = 13$

y-intercept(s) in point form.

y-intercept(s): $(0, 13)$

Step 3

List the intersections.

x-intercept(s): $(- \frac{13}{6}, 0)$

y-intercept(s): $(0, 13)$

Step 4