Find the slope intercept equation of the line perpendicular to the line 2X-5y=6 and containing the point (2,2)

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Answer:

The equation of the perpendicular line would be y = -5/2x + 7

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

2x - 5y = 6

-5y = -2x + 6

y = 2/5x - 6/5

This shows us a slope of 2/5. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negate 2/5 to get -2/5 and then we flip it to get -5/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

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

y - 2 = -5/2x + 5

y = -5/2x + 7

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