Identify an equation in point-slope form for the line perpendicular to y = -1/2x+11 that passes through (0,-2)
1 answer:
<h2>Answer: y + 2 = 2x</h2><h2>
</h2><h3>Step-by-step explanation:
</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = - ¹/₂
then the slope of the perpendicular line (m) = 2
<u></u>
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-2) = 2 (x - 0)
∴ y + 2 = 2x
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
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