Find the Equation Using Slope-Intercept Form m=6 , (8,8)

$m = 6$ , $(8, 8)$

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.

$y = (6) \cdot (8) + b$

Substitute the value of $y$ into the equation.

$8 = (6) \cdot (8) + b$

Find the value of $b$ .

Rewrite the equation as $(6) \cdot (8) + b = 8$ .

$(6) \cdot (8) + b = 8$

Multiply $6$ by $8$ .

$48 + b = 8$

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

Subtract $48$ from both sides of the equation.

$b = 8 - 48$

Subtract $48$ from $8$ .

$b = - 40$

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.

$y = 6 x - 40$

Step 3