Find the Equation Using Slope-Intercept Form m=-0.8 , (14.5,12.8)

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

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.

$y = (- 0.8) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (- 0.8) \cdot (14.5) + b$

Substitute the value of $y$ into the equation.

$12.8 = (- 0.8) \cdot (14.5) + b$

Find the value of $b$ .

Rewrite the equation as $(- 0.8) \cdot (14.5) + b = 12.8$ .

$(- 0.8) \cdot (14.5) + b = 12.8$

Multiply $- 0.8$ by $14.5$ .

$- 11.6 + b = 12.8$

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

Add $11.6$ to both sides of the equation.

$b = 12.8 + 11.6$

Add $12.8$ and $11.6$ .

$b = 24.4$

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.

$y = - 0.8 x + 24.4$

Step 3