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exis [7]
3 years ago
9

Write an equation in slope-intercept form for the line that passes through the point (-8, 2) and is perpendicular to the line y

= 4/5x + 10.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

y = -5x/4 - 8

Step-by-step explanation:

Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):

y - 2 = -5/4(x-(-8))

Simplify:

y - 2 = -5/4(x+8)

y - 2 = -5x/4 - 10

So the equation in slope-intercept form is:

y = -5x/4 - 8

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