quadrilateral A(2,4) B(—1,5) C(—3,4) D(—2,2) (i) what is the gradient of the line joining C and D? (ii) show that the line joining A and D is perpendicular to the line C and D. (iii) find the equation of the line joining C and D and put the answer in the form ax + by = c, where a,b,c € Z.

Q: Which of the following equations represents the line that passes through the point (3,-1) and has a…

A:

Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: 3. If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is…

A:

Q: 2. (5 points) Write the equation of a line that contains the point (2,6) and is perpen- dicular to…

A: We have to write the equation of a line that contains the point (2, 6) and is perpendicular to the…

Q: Assume that the line passes through the point (3,-3)(3,-3) and is parallel to the line through the…

A:

Q: The Line (L2) that pass through point (-2,1) and perpendicular to the Line (L1)=y= 0.5x +2, Fill in…

A:

Q: The lines y where = and y = MON 5x - 7 and y = 2x + 8 intersect at the point (x, y) N

A: To find the intersection of given lines.

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: In this question given that two line which are intersect each other and and a line is perpendicular…

Q: (a) Write the equation of the line parallel to the straight-line y x +5 and passing through the…

A: Given line y = 3/2 x + 5 Slope of given line  = 3/2 Therefore slope of line parallel to this line…

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: 2 6. Parallel to y ==x+6; passing through the 3 point (2, 3) in slope intercept form.

A:

Q: 2x + 5y + 5z = 0, - x - y = 0 and 2x + 4y + 3z = 0 are the three straight lines. These lines…

A: Given: The equations of three straight lines are given by:…

Q: Find the equation of a line perpendicular to: a the line x+ 3y = 0 and passing through point (-3, 2)…

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

A:

Q: Find the equation of the line in slope intercept form parallel to 5x + 2y = – 2 and goes through the…

A: topic - equation of a line parallel to given line and passing through a point slope of parallel…

Q: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: (2) 3. Determine the equation of the line through the points (2,3) and (5,1).

A:

Q: Find a point on the

A: