Find the Equation with a Point and Slope What is the equation of the line that passes through the point (3,3) and has a slope of 0 ?

What is the equation of the line that passes through the point $(3, 3)$ and has a slope of $0$ ?

Step 1

Find the value of $b$ using the formula for the equation of a line.

Use the formula for the equation of a line to find $b$ .

$y = m x + b$

Substitute the value of $m$ into the equation.

$y = (0) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (0) \cdot (3) + b$

Substitute the value of $y$ into the equation.

$3 = (0) \cdot (3) + b$

Find the value of $b$ .

Rewrite the equation as $(0) \cdot (3) + b = 3$ .

$(0) \cdot (3) + b = 3$

Simplify $(0) \cdot (3) + b$ .

Multiply $0$ by $3$ .

$0 + b = 3$

Add $0$ and $b$ .

$b = 3$

Step 2

Now that the values of $m$ (slope) and $b$ (y-intercept) are known, substitute them into $y = m x + b$ to find the equation of the line.

$y = 3$

Step 3