Straight line with perfect solutions 2024

Distance formula correct answersd = √(x2-x1)²(y2-y1)² Midpoint formula correct answersM = (x1+x2 ÷2) , (y1+y2 ÷2) Gradient formula correct answersm= y2-y1/x2-x1 OR m=tanθ How to test if the points A, B and C are collinear correct answers1) work out mAB 2) work out mBC (or mAC) 3) if the gradients from 1&2 are the same then A, B and C are collinear. If perpendicular lines have gradients m and m⊥ then.... correct answersm x m⊥ = -1 If m x m⊥ = -1 then... correct answersThe lines are perpendicular (⊥) What is the rule for finding the gradient of a perpendicular line correct answersIf you know the gradient of one of the lines, then the gradient of the other is calculated by inverting the gradient (flipping the fraction) and changing the sign. Eg) if m=2/3 then m⊥= -3/2 The equation of a straight line correct answers•y-b=m(x-a) •y=mx+c What form must a straight line equation be in before you extract the gradient correct answersy=mx+c What is a median of a triangle correct answersA line through a vertex and the midpoint of the opposite side How do you find the equation of a median correct answers1) calculate the midpoint of the relevant (opposite) line 2) calculate the gradient of the line between the midpoint and the opposite vertex 3) find the equation using this ^ gradient and either of the two points used in step 2. In short- M, m, e. What is an altitude of a triangle correct answersA line through a vertex perpendicular to the opposite side How do you find the equation of an altitude correct answers1) calculate the gradient of the side which is perpendicular to the altitude 2) calculate the gradient of the altitude using m x m⊥ = -1