Write an equation that is perpendicular to y= 1/2x+5 and passes through (4,8)

Mathematics

1 answer:

goblinko [34]3 years ago

4 0

Answer:

y = -2x + 16.

Step-by-step explanation:

The slope of the perpendicular line = -1 / slope of the given line

= -1 / 1/2 = -2.

Using the point slope form of the equation of a straight line:

y - y1 = m (x - x1)

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16 is the required equation.

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