Find the Equation Using Slope-Intercept Form Slope 11 that passes through (-2,7)

Slope $11$ that passes through $(- 2, 7)$

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.

$y = (11) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (11) \cdot (- 2) + b$

Substitute the value of $y$ into the equation.

$7 = (11) \cdot (- 2) + b$

Find the value of $b$ .

Rewrite the equation as $(11) \cdot (- 2) + b = 7$ .

$(11) \cdot (- 2) + b = 7$

Multiply $11$ by $- 2$ .

$- 22 + b = 7$

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

Add $22$ to both sides of the equation.

$b = 7 + 22$

Add $7$ and $22$ .

$b = 29$

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.

$y = 11 x + 29$