Find the Equation Using Slope-Intercept Form (5,4) m=0

$(5, 4)$ $m = 0$

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.

$y = (0) \cdot (5) + b$

Substitute the value of $y$ into the equation.

$4 = (0) \cdot (5) + b$

Find the value of $b$ .

Rewrite the equation as $(0) \cdot (5) + b = 4$ .

$(0) \cdot (5) + b = 4$

Simplify $(0) \cdot (5) + b$ .

Multiply $0$ by $5$ .

$0 + b = 4$

Add $0$ and $b$ .

$b = 4$

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.

$y = 4$