Answer:
y = 2x + 4
Step-by-step explanation:
Slope: (6-4)/(1-0) = 2
y = 2x + 4
The equation represents f(x) = 2x + 4.
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given data as :
The points given are (0, 4), (1, 6), (2, 8)
Taking any two points (0, 4), (1, 6)
The slope (m) = (y₂ - y₁)/(x₂ -x₁ )
The equation of the line can be written as:
(6-4)/(1-0) = 2
y = 2x + 4
∴ f (x) = 2x + 4
Hence, the equation represents f(x) = 2x + 4.
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