Find the slope of altitude to line AT the coordinates are A(-7,0) and T (9,-7)
find the slope of AT
then the altitude is at right angles to it, so its slope is the negative reciprocal of the slope of AT
To find the slope of the altitude to line AT, we need to determine the slope of the line AT first. The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Given the coordinates A(-7,0) and T(9,-7), we can substitute the values into the formula to find the slope of line AT:
slope = (-7 - 0) / (9 - (-7))
slope = -7 / 16
Therefore, the slope of the line AT is -7/16.
Now, to find the slope of the altitude to line AT, we will use the fact that the slope of two perpendicular lines is the negative reciprocal of each other. Therefore, the slope of the altitude will be the negative reciprocal of -7/16.
The negative reciprocal of -7/16 is obtained by flipping the fraction and changing the sign:
slope of altitude = -1 / (-7/16)
slope of altitude = 16/7
Hence, the slope of the altitude to line AT is 16/7.