Find the Equation Using Point-Slope Formula m=-0.8 , (14.5,12.8)

$m = - 0.8$ , $(14.5, 12.8)$

Step 1

Use the slope $- 0.8$ and a given point $(14.5, 12.8)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (12.8) = - 0.8 \cdot (x - (14.5))$

Step 2

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

$y - 12.8 = - 0.8 \cdot (x - 14.5)$

Step 3

Solve for $y$ .

Simplify $- 0.8 \cdot (x - 14.5)$ .

Rewrite.

$y - 12.8 = 0 + 0 - 0.8 \cdot (x - 14.5)$

Simplify by adding zeros.

$y - 12.8 = - 0.8 \cdot (x - 14.5)$

Apply the distributive property.

$y - 12.8 = - 0.8 x - 0.8 \cdot - 14.5$

Multiply $- 0.8$ by $- 14.5$ .

$y - 12.8 = - 0.8 x + 11.6$

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

Add $12.8$ to both sides of the equation.

$y = - 0.8 x + 11.6 + 12.8$

Add $11.6$ and $12.8$ .

$y = - 0.8 x + 24.4$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = - 0.8 x + 24.4$

Point-slope form:

$y - 12.8 = - 0.8 \cdot (x - 14.5)$

Step 5

Find the Equation Using Point-Slope Formula m=-0.8 , (14.5,12.8)

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