Question

PLEASE HELP !!!! What is the slope of the line passing through the points (1, −5)(1, −5) and (4, 1)(4, 1)?

Answer 1

Here's an example... So, in our last example... In the point ( -2, -1 ), x1 = -2 and y1 = -1 ... and, in the point ( 4, 3 ), x2 = 3 and y2 = 3 m = ( y2 - y1 ) / ( x2 - x1 ) = ( 3 - ( -1 ) ) / ( 4 - ( -2 ) ) = 4 / 6 = 2 / 3 But, notice something cool... The order of the points doesn't matter! Let's switch them and see what we get: In the point ( 4, 3 ), x1 = 4 and y1 = 3 ... and, in the point ( -2, -1 ), x2 = -2 and y2 = -1 m = ( y2 - y1 ) / ( x2 - x1 ) = ( -1 - 3 ) / ( -2 - 4 ) = -4 / -6 = 2 / 3 ... Same thing! Let's try our new formula with the second example in the last lesson: It was a line passing through ( -1, 4 ) and ( 2, -2 ) m = ( y2 - y1 ) / ( x2 - x1 ) = ( -2 - 4 ) / ( 2 - ( -1 ) ) = -6 / 3 = -2