Find the Equation Using Slope-Intercept Form m=7 , (6,6)

$m = 7$ , $(6, 6)$

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.

$y = (7) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (7) \cdot (6) + b$

Substitute the value of $y$ into the equation.

$6 = (7) \cdot (6) + b$

Find the value of $b$ .

Rewrite the equation as $(7) \cdot (6) + b = 6$ .

$(7) \cdot (6) + b = 6$

Multiply $7$ by $6$ .

$42 + b = 6$

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

Subtract $42$ from both sides of the equation.

$b = 6 - 42$

Subtract $42$ from $6$ .

$b = - 36$

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.

$y = 7 x - 36$

Step 3