Find the x and y Intercepts y=5x+6

$y = 5 x + 6$

Step 1

Find the x-intercepts.

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

$0 = 5 x + 6$

Solve the equation.

Rewrite the equation as $5 x + 6 = 0$ .

$5 x + 6 = 0$

Subtract $6$ from both sides of the equation.

$5 x = - 6$

Divide each term in $5 x = - 6$ by $5$ and simplify.

Divide each term in $5 x = - 6$ by $5$ .

$\frac{5 x}{5} = \frac{- 6}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 6}{5}$

Divide $x$ by $1$ .

$x = \frac{- 6}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{6}{5}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{6}{5}, 0)$

Step 2

Find the y-intercepts.

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

$y = 5 (0) + 6$

Solve the equation.

Remove parentheses.

$y = 5 (0) + 6$

Simplify $5 (0) + 6$ .

Multiply $5$ by $0$ .

$y = 0 + 6$

Add $0$ and $6$ .

$y = 6$

y-intercept(s) in point form.

y-intercept(s): $(0, 6)$

Step 3

List the intersections.

x-intercept(s): $(- \frac{6}{5}, 0)$

y-intercept(s): $(0, 6)$

Step 4