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What is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?

User Thymine
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1 Answer

3 votes

Answer:

y = x + 6

Explanation:

A line that is perpindicular to y = -x + 20 would be y = x. Now, we have to solve for the y-intercept. Knowing the line must cross through (-4,2) we can solve for the y-intercept using the equation y = x which is just up one over one. Going over 4 units to get to x = 0 means going up 4 units to get to y = 6. Now we know the y-intercept is 6. This means the final equation is y = x +6.

User Limor
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