B. Find the slope of the line that connects the following points a) (0,3) and (4,7) b) (-9,6) and (-1, -2) C. Determine the slope-intercept form of a linear equation, given the listed attributes: a) Slope = -2 b) Slope =-3 c) Slope=0 d) (3, -2) е) (20, 240) and y-intercept = (0,10) and (4, -2) lies on line and (2,4) lies on line and (-12,1) lies on line (15,450) lies on line and

Q: 8. Determine whether the lines L,and L2 are parallel, skew or intersecting. If they intersect find…

A: Given data: The expression for the first line is L1: x=3+2t, y=4-t, z=1+3t. The expression for the…

Q: ub-) Find the equation of a line entirely in n which is perpendicular to the line D at the point…

A: You asked to solve part (b) only. So I supposed that you have equation of the plane π and…

Q: Find the value of x that makes lines a and b parallel. a 12x-4 10х + 10 O 10 O 13 O 6 O 7

A:

Q: What is an equation that is perpendicular to the line 4x + 6y = 6 ?

A: Given: 4x+6y=6

Q: Find the value of z that makes lines u and v parallel. 6x-3 117 O -5

A: We know that when two lines are crossed by another line (called the Transversal), the pairs of…

Q: Sketch the lines 3x+ 4y 7 and x- 2y = 6, and find their point of intersection. Hint: Their point of…

A:

Q: Write the general (Cartesian) form of the line that contains the point P=(1,6) and is parallel to…

A: This is the cartesian geometry and application.

Q: At what point do lines 2x+3y=16 and 3x+5y=26 intersect?

A: graph both the lines using table methodFirst equation is 2x+3y=16. Solve the equation for y and…

Q: Determine the distance, midpoint, and slope between the points A: (6, -1) and B: (4, -5) shown on…

A: The coordinates planes are:-

Q: In the equation of the line                      ⟨x, y, z⟩ = ⟨x0, y0, z0⟩ + t⟨x1 - x0, y1 - y0, z1 -…

A: The given equation for the line is,

Q: 3. D(-5, -6), E(5, 2), F(4, -4), G(-6, -12) (Distance & Slope Formulas)

A: Parallelogram

Q: 2- Write an equation of the line that passes through the point (8, -1) and is perpendicular to the…

A: Given:   Point: ( 8 , -1)   Slope = perpendicular to line

Q: Find the equation of the line that goes through the point (4, –3) and, relative to the line 1 1 2*+…

A:

Q: Which of the given lines is parallel to the line x + t,y = t, z = -7- 10t?

A: Two lines will be obtained as parallel when the respective coefficients of the parametric variables…

Q: Give an example of a pair of perpendicular lines, neither of which is parallel to the coordinate…

A:

Q: Find the equation of the line. Through (5,14); perpendicular to y = 2.

A:

Q: Below, quadrilateral ABCD is plotted with coordinates A(0, 8) , B(4, 2) , (3, 4) and D (7, 2). What…

A: First we will learn how to find slope of line joining two points

Q: Suppose you're climbing a hill whose shape is given by the equation z = 1000 – 0.003x² – 0.005y?,…

A:

Q: ow would I find an equation of the perpendicular bisector of the line segment joining the points…

A:

Q: Determine the slope-intercept form of the line with the given slope and passes through the given…

A: Slope intercept form y = mx + c Here m is the slope and c is the y - intercept .

Q: Determine whether the lines through the pairs of points are perpendicular.  A (2,0), B (1, -2) and…

A:

Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

A:

Q: Evaluate (x2 + y?) ds where C is the line segment from (0,0) to (5, 5).

A:

Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

A: The two points are given as , a,0 and 0,b. To find the line with intercepts on given points.…

Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: 5x 2x (5x + 40)°

A:

Q: Are the lines x = 7+11t, y = 11–61, z = 4–9t, and x = 3–12t, y = 7–t, z = 12–6t parallel? Yes O No

A: We have to check whether given line is parallel or not?

Q: If BCDE has coordinates B(-2,-5) and C(4,-1), what must be the slope of BE in order for BCDE to be a…

A:

Q: The slope of a horizontal line is ---Select-- ; The equation of the horizontal line passing through…

A: The slope of a horizontal line is zero.

Q: 1. Determine the values of x and y so that lines m and k will be parallel. x= Sy +2 y3= Зх - 20°…

A: Here the angles of measure 3x-20°,5x+8° are the angles on a straight line and thus they add up to…

Q: 7. Given that M4,6) is the mid-point of the line segment joining C(2, -3) and D, find the…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Prove that the equation of a line passing through (a, 0) and (0, b) (a + 0, b = 0) can be written in…

A: Given points:   (a, 0)  and  (0, b). To prove:  the equation of line passing through these points is…

Q: Find angle between the lines given by equations y=2x+4 and y=x+3

A:

Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

Q: Find, in terms of x and y, the equation of the perpendicular bisectoebof the line segment joining…

A:

Q: to a line Parallel Draw the line with equation through the 3y+4x-1%3D0 Doint (S, 1) (two Straight…

A:

Q: What can you conclude if you know that the point (p, q) lies on the line y — тх + b?

A: The given equation of the line is, y=mx+b If a point lies on the line then the point satisfies the…

Q: Find the co-ordinates of the point which divides the line segment joining the points (a+b,a-b) and…

A:

Q: Which pointis two fifths of the way between point A and point B on the line segment AB shown on the…

A:

Q: Determine the value of A so that the line whose equation is Ax+y−7=0 is perpendicular to the line…

A:

Q: Find the slope of the line from the origin to the midpoint P of side AB in the triangle in the…

A: a.We have to find the slope of the line origin to the midpoint P of the side AB in the triangle AOB…

Q: 11. Use the given information to write the equation of the line, first in point-slope form, then in…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.