Line l is perpendicular to line m with equation 2x + 5y = 20. line l intersects line m at (-5,6).
1 answer:
Answer:
The equation is y = -2/5x + 4
Step-by-step explanation:
First we have to find the slope of the line. In order to do so, solve the first equation for y.
2x + 5y = 20
5y = -2x + 20
y = -2/5x + 4
This gives us a slope of -2/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.
y - y1 = m(x - x1)
y - 6 = -2/5(x - -5)
y - 6 = -2/5(x + 5)
y - 6 = -2/5x - 2
y = -2/5x + 4
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