8. Give the equation of a line that passes through (-1.2) and is parallel to the...
Write the equation of the line parallel to a line with the equation y=-6x+4 that passes through the point (-2,6).
write an equation of the line that passes through the given point and is parallel to the given line. Write the answer in a slope intercept form (0,4) 8y -48x=3 y= -1/6x + 6 y=-1/6x + 4 y=6x -4 y= -1/4x + 6 y=6x + 4
Find an equation that passes through (3,5) that is perpendicular to the line 3x+6y=4 equation that passes passes through (3,5 that perpendicular to the line 3x+6y=4 is
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...
(1 point) Give a vector parametric equation for the line that passes through the point (1, -5, -1), parallel to the line parametrized by (-3 – t, 1+ 4t, 4+t): L(t) =
through tne po State the equation of the straight line parallel to the line y point (-4, 5). 3x+ 7 and passing through the 3. Given the linear equations: 2y 3x - 7 2x 5-3y 2y 3x 8 Write the three equations in the form y=mx +c. Hence state: (a) which pair of straight lines are parallel (b) which pair of straight lines are perpendicular to each other. Prove your answer in each case.
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...
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
Consider the line y=-5x+2. Find the equation of the line that is parallel to this line and passes through the point (6. 4). Find the equation of the line that is perpendicular to this line and passes through the point (6. -4). Note that the ALEKS graphing calculator may be helpful in checking your answer. E Equation of parallel line: DE X 5 ? Equation of perpendicular line:
Find the queation of the line that is parallel to the given line and passes through (5,-1) y=2x-7