In triangle ABC, A = (5, 9), B = (3, 1), and C = (11, 3). Write the equation of the altitude from A to BC. Use point-slope form ... y - y1 = m(x - x1).
To find the equation of the altitude from point A to line BC, we need to determine the slope of line BC and the coordinates of point A.
First, let's calculate the slope of line BC. We can use the formula:
m = (y2 - y1) / (x2 - x1)
Given point B (3, 1) and point C (11, 3), we have:
m = (3 - 1) / (11 - 3) = 2 / 8 = 1/4
Now, we need to find the coordinates of point A, which are given as A = (5, 9).
Next, using the point-slope form of a line, which is y - y1 = m(x - x1), we can substitute the values we found:
y - 9 = (1/4)(x - 5)
This is the equation of the altitude from point A to line BC in point-slope form.