Find the Equation Using Slope-Intercept Form m=9 , (4,4)

$m = 9$ , $(4, 4)$

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.

$y = (9) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (9) \cdot (4) + b$

Substitute the value of $y$ into the equation.

$4 = (9) \cdot (4) + b$

Find the value of $b$ .

Rewrite the equation as $(9) \cdot (4) + b = 4$ .

$(9) \cdot (4) + b = 4$

Multiply $9$ by $4$ .

$36 + b = 4$

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

Subtract $36$ from both sides of the equation.

$b = 4 - 36$

Subtract $36$ from $4$ .

$b = - 32$

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.

$y = 9 x - 32$

Step 3