Find the Equation with a Point and Slope What is the equation of the line that passes through the point (-2,-2) and has a slope of 2 ?

What is the equation of the line that passes through the point $(- 2, - 2)$ and has a slope of $2$ ?

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.

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

Substitute the value of $y$ into the equation.

$- 2 = (2) \cdot (- 2) + b$

Find the value of $b$ .

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

$(2) \cdot (- 2) + b = - 2$

Multiply $2$ by $- 2$ .

$- 4 + b = - 2$

Move all terms not containing $b$ to the right side of the equation.

Add $4$ to both sides of the equation.

$b = - 2 + 4$

Add $- 2$ and $4$ .

$b = 2$

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.

$y = 2 x + 2$