Answer:
y = -2x + 13
Need to know:
y = mx + b
Slope formula: y₂ - y₁/x₂ - x₁
Explanation:
First, we have to find the slope of the equation.
To find this we use this equation: y₂ - y₁/x₂ - x₁
x₁ = 2
x₂ = 5
y₁ = 9
y₂ = 3
(3 - 9)/(5 - 3) = -6/3 = -2
The slope of of the equation is -2
y = -2x + b
Plug in one of the given coordinates. We'll use (5, 3)
3 = -2(5) + b
3 = -10 + b
Add 10 to both sides
3 = -10 + b
+ 10 + 10
b = 13
y = -2x + 13