Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
Find the slope of a line perpendicular to the line y=xUse the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept.slope -3; y-intercept (0, -1/5)write the equation of the line passing through the given points. write the equation in standard form Ax+By=C(8,-3) AND (4,-8)Write an equation of each line. Write the equation in the form x=a y=b or y =mx+bThrough (-2,-3): perpendicular to 3x+2y =5Find the equation of each line....
Find the volume of the following regions bounded by the planes: a). 3x+8y+8z=9, 3x+8y+8z=9, y=x, x=0, z=0. b). 5x+3y+5z=2, 5x+3y+5z=2, y=x, x=0, z=0.
A is the point (-1, 5). Let (x, y) be any point on the line y = 3x. a Write an equation in terms of x for the distance between (x, y) and A(-1,5). b Find the coordinates of the two points, B and C, on the line y = 3x which are a distance of √74 from (-1,5). c Find the equation of the line l1 that is perpendicular to y = 3x and goes through the point (-1,5). d Find the coordinates...
please solve 3 and 4
TEN C hQuestione Each questio n s (A) (0) (C) and (D) out of whid ONLY ONE Lot L be the line belonging to the family of the straight lines ( 20% - a-b a be which farthest from the point (22) Area formed by the line L with coordinates A) 4/3 units (0) 92 units e) 49/8 sq unite (0) None of these A variable in Lis drawn through 10.) to meet the lines...
B (2,4) A (-2,3) C (11,2) 0 3y+ 2x+5-0 In the diagram, the points A, Band C have coordinates (-2,3), (2,4) and (11,2) respectively. D is a point such that DA is perpendicular to AB, and Dlies on the line 3y+ 2x+ 5 = 0. 141 Find the coordinates of D. Point E lies on DC and the ratio of the length of DE to the length of DCis 2:3 (i) 141 (ii) Find the area of triangle DBE. (ii)...
8.) Find a line which is normal (perpendicular) to f(x,y) = x2 + 3y - 5 when x = 2 and y = 1. Express the line as a vector function.
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines
y^2-3x-4y-1=0
3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
Find the equation of the line perpendicular to 3x+y-2=0 that goes through the point, (0,1) Show all work.