Find the Equation Using Slope-Intercept Form m = square root of 3 , (0,0)

$m = \sqrt{3}$ , $(0, 0)$

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.

$y = (\sqrt{3}) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (\sqrt{3}) \cdot (0) + b$

Substitute the value of $y$ into the equation.

$0 = (\sqrt{3}) \cdot (0) + b$

Find the value of $b$ .

Rewrite the equation as $\sqrt{3} \cdot 0 + b = 0$ .

$\sqrt{3} \cdot 0 + b = 0$

Simplify $\sqrt{3} \cdot 0 + b$ .

Multiply $\sqrt{3}$ by $0$ .

$0 + b = 0$

Add $0$ and $b$ .

$b = 0$

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.

$y = \sqrt{3} x$

Step 3