Find the Equation Using Slope-Intercept Form m=-6 ; (0,7)

$m = - 6$ ; $(0, 7)$

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.

$y = (- 6) \cdot (0) + b$

Substitute the value of $y$ into the equation.

$7 = (- 6) \cdot (0) + b$

Find the value of $b$ .

Rewrite the equation as $(- 6) \cdot (0) + b = 7$ .

$(- 6) \cdot (0) + b = 7$

Simplify $(- 6) \cdot (0) + b$ .

Multiply $- 6$ by $0$ .

$0 + b = 7$

Add $0$ and $b$ .

$b = 7$

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.

$y = - 6 x + 7$

Step 3