Which equation represents the line that passes through the points (4,6) and (-2,-1)?
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Find an equation for the line which passes through (-1,2) and is perpendicular to the line containing (0,2) and (4,6). The equation of the line is _______
8. (4 pts) Find the equation of the line parallel to y = -2x + 1 that passes through the point (-4,6). 9. (4 pts) Find the equation of the line that passes through the points (-2,5) and (-1,8). OS 10. Multiply and/or divide as indicated. Give your answers in fully-factored form. 6x +30 (4 pts) 18 a b. (4 pts) 20x 18y 27y5 5x c. (3 pts) x2-36 x+7 x2-49 x+6 d. (3 pts) 3b+5 10b-5 6b2+7b-5 2b-1 4
In problems 1 - 4, write the equation in the slope-intercept form using the given information. 1. Write the equation in the slope-intercept form that passes through the given point and has the indicated slope m. (3,-4) and m=- 2. Write the equation in the slope-intercept form that passes through the given points: (-1,-2) and (3,-4) 3. Write the equation in the slope-intercept form of the line that passes through the point (-1, 3) and is parallel to the line...
Question 3 a) Find the cartesian equation of the line that passes through the origin and lies perpen- (3 dicular to the plane 3x - 5y +2z 8. marks] b) Find the cartesian equation of the plane that lies perpendicular to the line 3 marks] and passes through the point 1 cExplain why a unique plane passing through the three points A(-2,-1,-4), B(0,-3,0) [2 marks) and C(2,-5,4) cannot be defined. Question 3 a) Find the cartesian equation of the line...
10. Write an equation for the plane containig the points (-7,2,1). (9.0,-2) and (-5, -1,2). Is this plane parallel, perpendicular or neither to the plane 2x - 3y + 2 = 5? 11. Consider the line that passes through the point (6, -5,2) and that is parallel to the vector (-1, 1, 3). (a) Find symmetric equations for this line (b) Find the point at which this line passes through the yz-plane.
The equation for a straight line (deterministic model) is y = Bo +Byx. If the line passes through the point (-6,1), then x = -6, y = 1 must satisfy the equation; that is, 1 = Bo +(-6). Similarly, if the line passes through the point (9,2), then x=9, y=2 must satisfy the equation; that is, 2 = Bo + B1(9). Use these two equations to solve for Bo and By; then find the equation of the line that passes...
2. (20 points) Consider the point PO 2, 3) and the - 3+1 (a) Show that the point is not on the line (b) Find the shortest distance from the point to the line (e) Find the equation of the line parallel to the given line but that passes through the point P. (d) Suppose that the plane is perpendicular to the line but passes through the point P. Find the equation of the plane.
Consider the points P(2, 1, 1) and Q(3, 0, 0). (a) Write the equation of the line that passes through the points P and Q. Express your answer with both parametric equations and symmetric equations. (b) Write the equation of the plane (in terms of x, y, z) that passes through the point P and is perpendicular to the line from part (a).
Using MATLAB Please Write a MATLAB function that takes coord natos of four points as inputs and returns the coord nates of ntersection of the line passing through ooints 1 and 2 and the line passing through points 3 and 4. For function name and inout arguments, use: P line_int(P1, P2, P3, P4) The function should be able to handle row or column vector entries. This function will use a sub-function called line_eq. This sub-function takes coordinates of two points...
Given four points A = (1, 2, -1), B = (3,2,0), C = (0,1,1) and D= (1,0,1). (a) Determine the parametric equations of the line that passes through A and B and of the line that passes through C and D. (b) Determine if the line that passes through A and B intersects with the line that passes through C and D. (c) Determine the distance between the lines in part (a). (d) Determine the equation of a plane that...