Find the Equation Using Point-Slope Formula m=-0.25 , (-8,2)

$m = - 0.25$ , $(- 8, 2)$

Step 1

Use the slope $- 0.25$ and a given point $(- 8, 2)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (2) = - 0.25 \cdot (x - (- 8))$

Step 2

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

$y - 2 = - 0.25 \cdot (x + 8)$

Step 3

Solve for $y$ .

Simplify $- 0.25 \cdot (x + 8)$ .

Rewrite.

$y - 2 = 0 + 0 - 0.25 \cdot (x + 8)$

Simplify by adding zeros.

$y - 2 = - 0.25 \cdot (x + 8)$

Apply the distributive property.

$y - 2 = - 0.25 x - 0.25 \cdot 8$

Multiply $- 0.25$ by $8$ .

$y - 2 = - 0.25 x - 2$

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

Add $2$ to both sides of the equation.

$y = - 0.25 x - 2 + 2$

Add $- 2$ and $2$ .

$y = - 0.25 x + 0$

Add $- 0.25 x$ and $0$ .

$y = - 0.25 x$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = - 0.25 x$

Point-slope form:

$y - 2 = - 0.25 \cdot (x + 8)$

Step 5

Find the Equation Using Point-Slope Formula m=-0.25 , (-8,2)

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