Question

write the equation


Has slope of -1/7 and goes through the point (14,-5) in point-slope form.

Answer 1

Answer:

$\displaystyle y + 5 = \frac{-1}{7}(x - 14)$

General Formulas and Concepts:

Algebra I

Coordinate Planes

• Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

• x₁ - x coordinate
• y₁ - y coordinate
• m - slope

Step-by-step explanation:

Step 1: Define

Identify.

Slope m =  $\displaystyle \frac{-1}{7}$

Point (14, -5)

Step 2: Write Equation

1. Substitute in variable [Point-Slope Formula]:                                                 $\displaystyle y - -5 = \frac{-1}{7}(x - 14)$
2. Simplify:                                                                                                             $\displaystyle y + 5 = \frac{-1}{7}(x - 14)$