Find the Equation Using Slope-Intercept Form m=5 and (6,-1)

$m = 5$ and $(6, - 1)$

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.

$y = (5) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (5) \cdot (6) + b$

Substitute the value of $y$ into the equation.

$- 1 = (5) \cdot (6) + b$

Find the value of $b$ .

Rewrite the equation as $(5) \cdot (6) + b = - 1$ .

$(5) \cdot (6) + b = - 1$

Multiply $5$ by $6$ .

$30 + b = - 1$

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

Subtract $30$ from both sides of the equation.

$b = - 1 - 30$

Subtract $30$ from $- 1$ .

$b = - 31$

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.

$y = 5 x - 31$

Step 3