Answer:
y = 6
Explanations:
Note:
The point-slope equation of a line is given by the formula: y - y₁ = m(x - x₁)
The slope - Intercept form of the equation of a line is: y = mx + x
Where m is the slope, and c is the intercept
When two lines are parallel, they have the same slope
The equation of the given line is y = -2
Comparing this equation to y = mx + c:
m = 0, c = -2
The equation of the line passing through the point (2, 6) and parallel to the line y = -2 will also have a slope, m = 0
Using the formula y - y₁ = m(x - x₁), the equation of the line becomes:
y - 6 = 0 (x - 2)
y - 6 = 0
y = 6