Find the Equation with a Point and Slope What is the equation of the line that passes through the point (-2,-1) and has a slope of 1 ?

What is the equation of the line that passes through the point $(- 2, - 1)$ and has a slope of $1$ ?

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.

$y = (1) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (1) \cdot (- 2) + b$

Substitute the value of $y$ into the equation.

$- 1 = (1) \cdot (- 2) + b$

Find the value of $b$ .

Rewrite the equation as $(1) \cdot (- 2) + b = - 1$ .

$(1) \cdot (- 2) + b = - 1$

Multiply $- 2$ by $1$ .

$- 2 + b = - 1$

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

Add $2$ to both sides of the equation.

$b = - 1 + 2$

Add $- 1$ and $2$ .

$b = 1$

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.

$y = x + 1$