A triangel in a coordinate system is given by the points A (-1, 4), B (8,1) and C (4, 9). A height is drawn against the side AB. Calculate the coordinates for the point where the height meets the side AB.
First I calculated the slope of the line which goes from point A to B. This is -1/3. The line which goes from C against the side AB is has to be perpendicular against A and B. This means it has a slope which is 3.
y2-y1/x2-x1=slope
9-y1/4-x1= 3
From here I do not know how to continue. Can you please help me? Thank you in advance.
First I calculated the slope of the line which goes from point A to B. This is -1/3. The line which goes from C against the side AB is has to be perpendicular against A and B. This means it has a slope which is 3.
y2-y1/x2-x1=slope
9-y1/4-x1= 3
From here I do not know how to continue. Can you please help me? Thank you in advance.