Find the Equation Using Slope-Intercept Form (-1,4) m=-3

$(- 1, 4)$ $m = - 3$

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.

$y = (- 3) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (- 3) \cdot (- 1) + b$

Substitute the value of $y$ into the equation.

$4 = (- 3) \cdot (- 1) + b$

Find the value of $b$ .

Rewrite the equation as $(- 3) \cdot (- 1) + b = 4$ .

$(- 3) \cdot (- 1) + b = 4$

Multiply $- 3$ by $- 1$ .

$3 + b = 4$

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

Subtract $3$ from both sides of the equation.

$b = 4 - 3$

Subtract $3$ from $4$ .

$b = 1$

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.

$y = - 3 x + 1$

Step 3