III Writing the equation of the line through two given points Find an equation for the...
O LINES AND SYSTEMS Writing the equation of the line through two given points Find an equation for the line that passes through the points (-4,-4) and (6, -2). D=0 ola x 5 ? 2 of 4 Explanation Check of 1 Eng 2020 McGraw tv The %
Writing equations of lines parallel and perpendicular to a given... Consider the line y=-6x+5. Find the equation of the line that is parallel to this line and passes through the point (8, -4). Find the equation of the line that is perpendicular to this line and passes through the point (8, -4). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: e X Equation of perpendicular line: 1 ? Explanation Check 20:20...
Q4. (5 points). Find the equation of the plane that passes through the line of intersection of the two planes x - 2y = 3 and y- z = 0 and parallel to the line x = y - 1 = 2+1 Q5. (4 points). Find the distance from the point A(1,2,3) and the line 2+1 y-1 2 Q6. (4 points). Give the name and sketch the surface whose equation is given by x2 + 2y2 – 12y – z...
Find the equation of the line that passes through the given points. (Let x be the independent variable and y be the dependent variable.) (3,1) and (4,4)
3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the two planes. (b) Suppose another line, L2, has vector equation (x, y, z) = (8,3,-2) + t2(-2, 1, 1). 6 marks] Find where Land L2 intersect 4 marks
3. Consider the two planes, P and P2, where Pi is given by the...
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...
6. (10 points) Find the equation of the line that is perpendicular to the line 6x - 4y = 3 and passes through the point (6,-1). (a) Find the slope of the given line 6x – 4y = 3. (b) What is the slope of a line that is perpendicular to the above line? (c) Now, find the equation of the perpendicular line that passes throu
(1) (a) Find the equation of the line, Li, which passes through the points A : (4,y,z) = (0, -5, -3) and B : (x, y, z)=(3, 1,0). (b) Find the equation of the line, Ly, which passes through the points C:(x, y, z)=(-1, -3,2) and D: (x,y,z) = (4,3,6). (c) Show that L and Ly are not parallel lines. (d) Write the parametric equations for L, and L2, and then show that the lines Li and L2 do not...
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By = m=4, (7,7) The equation of the line in the form Ax+By = C is (Simplify your answer. Use integers or fractions for any numbers in the equation.)
1 - Find an equation of the vertical line that passes through (x, y) = (−10, 18). 2 - Find an equation of the line that passes through the point (−1, 6) and is parallel to the line passing through the points (−3, −5) and (1, 3). (Let x be the independent variable and y be the dependent variable.) 3 - Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line...