What is the equation of a line that satisfies the given conditions: perpendicular to $y= -2x + 5$ and passing through (4, -10)?

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Answer 1 · 2015-11-19T16:41:19

$y=0.5x-12$

Since the line must be perpendicular, the slope $m$ should be the opposite and inverse of the one in your original function.

$m=-(-1/2)=1/2=0.5$

Now all you have to do is use the point slope equation:

Given coordinate: $(4,-10)$

$y-y_0=m(x-x_0)$

$y-(-10)=0.5(x-4)$

$y+10=0.5x-2$

$y=0.5x-2-10$

$y=0.5x-12$

What is the equation of a line that satisfies the given conditions: perpendicular to y= -2x + 5y= -2x + 5 and passing through (4, -10)?