2 years ago

Write the equation of the line passing through the point (−3,−4) that is perpendicular to y=8/3x+5.

Mathematics

1 answer:

KiRa [710]2 years ago

3 0

Answer:

y = -3/8x -41/8

Step-by-step explanation:

Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.

Therefore the slope changes from 8/3 to -3/8.

Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).

The result is b = -41/8 so our new equation is:

y = -3/8x -41/8

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