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info@snapandsolve.comTo find the equation of line q, which is perpendicular to line p, we need to determine the slope of line q. The slope of line p is -1/2. The slope of a line perpendicular to another is the negative reciprocal of the original slope. Therefore, the slope of line q is 2.
Using the point-slope form of a line equation, y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line, we can substitute the slope and the point (4, 7):
Simplifying this equation gives:
Therefore, the equation of line q is y = 2x - 1.
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