WebbClick here👆to get an answer to your question ️ If the coordinates of points A and B are ( - 2, - 2) and (2, - 4) respectively, find the coordinates of P such that AP = 37 AB , where P lies on the line segment AB . Webb10 jan. 2024 · If points A (x₁, y₁) and B (x₂, y₂) are given, then the gradient of AB is given by (y₂ - y₁)/ (x₂ - x₁). Now, given that A (3k-4, -2) and B (1, k+1) Also gradient = -3/2 Using the …
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Webb5 apr. 2024 · difference in x coordinates is 5- (-2)=5+2=7. square the differences and add them to get 1 + 49 = 50. the square root of 50 is the distance from A to B. the line from A to B has slope = 1/7 = the difference in y values divided by the difference in x values. Then use a point slope equation for the line: y-y1 = m (x-x1) where (x1,y1) is either A ... WebbThe points A and B have coordinates (6, 7) and (8, 2) respectively. The line l passes through the point A and is perpendicular to the line AB, as shown in Figure 1. (a) Find an equation for l in the form ax + by + c = 0, where a, b and c are integers. (4) Given that l intersects the y-axis at the point C, find (b) the coordinates of C, (2) james strainer grand river ohio
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WebbExpert Answer 100% (1 rating) Transcribed image text: 3. (a) Find the components of the vector AB where the points A and B have coordinates (1, 2, -1) and (7,3,1), respectively. (b) Let a = (1,2), b= = (2, -1) be two vectors in R2. Find a + b. Sketch a, b, and a +b, showing how they are related. WebbThe line crosses the x axis at point A, the y axis at point B and O is the origin. (b) Find the area of triangle AOB. (Total for question 3 is 6 marks) 4 The points A and B have coordinates (–1, k + 2) and (2k – 3, 8) where k is a constant. Given the gradient of AB is (a) Show that k = 4 (b) Find the equation of the line the passes through ... WebbNOTE: i) Parallel lines have the same slope. ii) Perpendicular lines have slopes that are opposite reciprocals, like \frac{a}{b} \text{ and } \frac{-b}{a}. The slopes also have a product of -1. Step 3: Use the slope of line and a point on line to find its y - intercept. EXAMPLE: Plug the slope m = -2 and the point (-6, 4) into the james strain rapid city sd