The equation of line is y = 3
Given the points:
(x₁, y₁) = (-1, 3)
(x₂, y₂) = (7, 3)
The slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
The formula for slope is,
m = (y₂ – y₁) / (x₂ – x₁)
We have given,
x₁ = -1
x₂ = 7
y₁ = 3
y₂ = 3
So,
m = (3 – 3) / ( 7-(-1)) = 0/8 = 0
Slope intercept form,
y = mx + b
Considering y as 3, then
3 = 0(x) + b
3 = 0 + b
b = 3
Therefore, the equation of line is
y = 3
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