Work out the equation of the line

y = -2x + 9

General Formulas and Concepts:

Order of Operations: BPEMDAS

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define variables

Gradient (Slope m) = -2

Random point (1, 7)

Step 2: Find y-intercept b

Write equation:                             y = -2x + bSubstitute:                                     7 = -2(1) + bMultiply:                                         7 = -2 + bAdd 2 on both sides:                    9 = b

Step 3: Write linear equation

Substitute our newly found b in.

y = -2x + 9

Cis your correct answer

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