Find the Equation Using Slope-Intercept Form m=6 , (2,1)

$m = 6$ , $(2, 1)$

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.

$y = (6) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (6) \cdot (2) + b$

Substitute the value of $y$ into the equation.

$1 = (6) \cdot (2) + b$

Find the value of $b$ .

Rewrite the equation as $(6) \cdot (2) + b = 1$ .

$(6) \cdot (2) + b = 1$

Multiply $6$ by $2$ .

$12 + b = 1$

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

Subtract $12$ from both sides of the equation.

$b = 1 - 12$

Subtract $12$ 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.

$y = 6 x - 11$

Step 3