The equation of line q is determined as y = ¹/₈x - ⁹/₄.
What is slope?
The slope of a line is the change in y axis to change in x axis.
Slope of line P
y = – 8x + 6
from general line equation, y = mx + c
where;
m = - 8
Slope of line q
m₂ = -1/m
m₂ = -1/-8
m₂ = 1/8
Equation of line q
(y - y₁) / (x - x₁) = m₂
(y + 2)/(x - 2) = 1/8
y + 2 = ¹/₈(x - 2)
y + 2 = ¹/₈x - ¹/₄
y = ¹/₈x - ⁹/₄
Thus, the equation of line q is determined as y = ¹/₈x - ⁹/₄.
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