Find the Equation Using Slope-Intercept Form (-10,-1) ; m=-1

$(- 10, - 1)$ ; $m = - 1$

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.

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

Substitute the value of $x$ into the equation.

$y = (- 1) \cdot (- 10) + b$

Substitute the value of $y$ into the equation.

$- 1 = (- 1) \cdot (- 10) + b$

Find the value of $b$ .

Rewrite the equation as $(- 1) \cdot (- 10) + b = - 1$ .

$(- 1) \cdot (- 10) + b = - 1$

Multiply $- 1$ by $- 10$ .

$10 + b = - 1$

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

Subtract $10$ from both sides of the equation.

$b = - 1 - 10$

Subtract $10$ from $- 1$ .

$b = - 11$

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.

$y = - x - 11$

Step 3