Question

Which equation is the equation of the line, in point-slope form, that has a slope of −4 and passes through the point (7, 1) ?

A. y−1=−4(x−7)
B. y−7=4(x−1)
C. y−1=−4(x+7)
D. y−7=−4(x−1)

Answer 1

y - 1 = -4(x - 7)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

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

Explanation:

Step 1: Define

Slope m = -4

Point (7, 1)

Step 2: Write Equation

Plug in variables into the general formula.

y - 1 = -4(x - 7)