Find the Equation with a Point and Slope 2 (0,3)

$2$ $(0, 3)$

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.

$y = (2) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (2) \cdot (0) + b$

Substitute the value of $y$ into the equation.

$3 = (2) \cdot (0) + b$

Find the value of $b$ .

Rewrite the equation as $(2) \cdot (0) + b = 3$ .

$(2) \cdot (0) + b = 3$

Simplify $(2) \cdot (0) + b$ .

Multiply $2$ by $0$ .

$0 + b = 3$

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.

$y = 2 x + 3$

Step 3