Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.) 3x + 4y = -7, - - L= Z-3 2 6. 8. (x, Y, 2) = ( Determine whether the line lies in the plane. The line -Select-- v lie in the plane. -Select- does does not Submit Answer

Q: 5- Find the Line that passes through the point (l,2) and througgh the point of inter Section of the…

A: In this question given that point (1,2). And two lines x +2y = 3 and 2x -3y = -1. And we find that…

Q: Find an equation of the line parallel to 7x-y=5 and passing through (4,3). Express the equation in…

A: wr have given line is.....     7x-y=5Or,  y=7x-5...............(1)any line parallel to line (1)…

Q: r₁(t) = (–4.5, 1, 1.5) + t (1, −4, 1) r₂(t) = (–12, −6.5, −1) + t (−4, 1, −2) Find the point of…

A: Given: To Find: To find the point of intersection, P, of the lines .

Q: Find the equation of the line L that passes throught point P(3, 2, -4) and Q(2, -1,8). r(t) + t

A:

Q: Is there a straight line that passes through the points? P, (2,0,1), P2(3, –2,0), P3(1,2,2)

A: If a line is passing through three points, then the points are said to be collinear. The vector that…

Q: Consider the curve defined by x? + xy + y? = 27 a. Write an expression for the slope of the curve at…

A: The slope of the tangent is the dy/dx at the given point.

Q: 21 Draw APQR by plotting the points P(-5, 1), Q (-5, 4), R (-1, 4). What is the relationship between…

A: Given points are P−5,1, Q−5,4 and R−1,4. First of all draw the triangle PQR, shown as follows

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: irection: If M is the midpoint of PQ, determine the coordinates of Q. M (-1, 5), P (3, 8)

A: Given coordinates of M (-1, 5) and P(3, 8) Also M is mid point of PQ Let coordinates of Q be (x, y)

Q: Which one of the following points does NOT lie on the line 5y + 8x - 4 = 0?

A:

Q: 2. A line goes through the points, (8, 9) and (-2, 4). (a) What is the slope of the line? Show your…

A: Here the points are given as 8,9 and -2, 4 Then the slope of the line passes through these points is…

Q: plot the points on a coordinate system.

A: 19. -1, 320. 4, -221. -4, 3

Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

A: Given equation of line is ⎩⎪⎨⎪⎧​x=2−ty=3tz=1+2t​ Also, the equation of plane is 2x−y+2z−9=0  We know…

Q: If M is the midpoint of PQ, determine the coordinates of Q. M (1,6), P (-2,5)

A: Given that M is the midpoint of PQ, and M1, 6, P-2, 5 Here, we have to determine the coordinates of…

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: Use algebra to find the point of intersection of the two lines whose equations are provided.…

A: Two lines are given as 2x + 3y = 4…….(1) and 3x – 4y = 23…….(2).