With a(2,9)b(0,-2)c(-8,4) find the equation of AE , the altitude from a to bc explain pleease , test 2marra?

With a(2,9)b(0,-2)c(-8,4) find the equation of AE , the altitude from a to bc explain pleease , test 2marra

With a(2,9)b(0,-2)c(-8,4) find the equation of AE , the altitude from a to bc explain pleease , test 2marra?
First, find the slope of BC.





m = (4 - -2) / (-8 - 0) = (-4 + 2) / (-8) = -2 / -8 = 1/4





The slope of the altitude AE would be the negative reciprocal of that (because AE is perpendicular to BC).





So, the slope of AE is m = -4/1 = -4.





Now, you have a slope (-4) and can use point A (2, 9) to write the equation.





y - 9 = (-4)(x - 2)


y - 9 = -4x + 8


y = -4x + 17