Find the Equation Using Point-Slope Formula (1,8) , m=-4

$(1, 8)$ , $m = - 4$

Use the slope $- 4$ and a given point $(1, 8)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (8) = - 4 \cdot (x - (1))$

Simplify the equation and keep it in point-slope form.

$y - 8 = - 4 \cdot (x - 1)$

Solve for $y$ .

Simplify $- 4 \cdot (x - 1)$ .

Rewrite.

$y - 8 = 0 + 0 - 4 \cdot (x - 1)$

Simplify by adding zeros.

$y - 8 = - 4 \cdot (x - 1)$

Apply the distributive property.

$y - 8 = - 4 x - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$y - 8 = - 4 x + 4$

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

Add $8$ to both sides of the equation.

$y = - 4 x + 4 + 8$

Add $4$ and $8$ .

$y = - 4 x + 12$

List the equation in different forms.

Slope-intercept form:

$y = - 4 x + 12$

Point-slope form:

$y - 8 = - 4 \cdot (x - 1)$

Find the Equation Using Point-Slope Formula (1,8) , m=-4

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