Write the distance d between the point (3, 1) and the line y = mx + 4 in terms of m. Use a graphing utility to graph the equation. When is the distance 0? Explain the result geometrically.

Q: Solve for y and write an equation for a line perpendicular to y=−5x−3 and passing through the point…

A: The line perpendicular to the line y=-5x-3 and passing through the point 15,4

Q: Q2/ Find the equation of the circle tangent to the lines, y= -2x+3, y 2x+7, and y

A: Answer

Q: Find the distance between the points a 1 - 2 (−1) and b Distance = -4 -4 3

A: This question can be solved using the concept of distance formula.

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: i) Find the cartesian coordinate of the point P(r, 0) = (-3, ). Plot the graph

A:

Q: Use the Midpoint Formula to find the midpoint of the line segment joining: a) (5, –1) and (-1,7) b)…

A: a) Given, (5,-1) and (-1,7) Use the midpoint formula to find the midpoint of the line segment…

Q: Find the equation of the line through the points (27,0) and (0,−1). Write your answer in the form…

A: Refer to the question.To find the equation of the line passing through the points (27,0) and (0,−1)…

Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

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: nd an equation for the perpendicular bisector of the line segment whose endpoints e (7,9) and…

A:

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

A:

Q: Find the equation of a line tangent to the circle x2 +y2 – 4x + 2y - 31 = 0 at the point (2,5). Draw…

A:

Q: Use the graph to write an equation of the line. y3D

A: Using graph we will have to write an equation of line.

Q: Find the point on the line y = 2x + 8 that is closest to the origin.

A:

Q: Find the point on the line  y = 4x + 3  that is closest to the origin

A:

Q: What will be the x-coordinate of Point C?

A: I have given an answer in step 2.

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Let the line segment be AB , where coordinates of A & B are 3,-2 & 5,-1 .Let the three…

Q: Write an equation and sketch this graph: The cylinder of radius 2 centered on the line through the…

A:

Q: Find the point on the line y = 1 – 6 that is closest to the origin. Give your answer in the form (a,…

A: We have to find a point on line which is closest to the origin.

Q: Which equation represents the line shown on the coordinate plane below?

A: Given graph of line is

Q: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

Q: Find the midpoint M of the line segment joining the points A=(1,-2) B=(-7,-8)

A: The given points are…A=(1,-2 ) and B=(-7,-8)The formula to calculate mid-point is…

Q: Containing the points (-3,4) and (2,5)

A: The points are (-3, 4) and (2,5). The equation of line in slope-intercept form is given as…

Q: Write an equation for the line graphed below y = I SAS9 ➤X

A:

Q: Find the general equation of the straight line that intercepts the x-axis at 2 and the y-axis at -6.

A: on solving this we get

Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: Write the equation of a line that is perpendicular to y +9 and that passes through the point (4,-6).…

A: The line is perpendicular to y=-27x+9 and passes through (4,-6)

Q: Find the equation of the line though the point (1, -2) and perpendicular to the line y = x + 2.…

A: We have to find equation

Q: Find the point when the line y=-3x+8 that is closest to the origin.

A:

Q: (a) How do you find the distance from a point to a line?

A: Let the point be And the line be Then the distance d is,

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the…

A: Topic:- geometry

Q: 2. Write an equation for the (straight) line that passes through the points (-7,8) and (5,-10).…

A: We know that

Q: Use the Midpoint Formula to find the midpoint of the line segment joining: a) (5, –1) and (-1, 7) b)…

A: a) Given: The points 5, -1 and -1,7. The midpoint of the line segment joining the points x1, y1…

Q: Use the graph to write an equation of the line. y%3D

A: Consider the graph.

Q: Find the midpoint of the line segment joining the points P1 and P2 . Equation: y3 = x + 1Points: (1,…

A: Given y3=x+1 Points: (1, 2); (0, 1); ( - 1, 0)

Q: Find the distance between each pair of points. If you get stuck, try plotting the points on graph…

A:

Q: Find the point on the line y=3x-10 that is closest to the origin.

A:

Q: if the endpoints of a line segment are (14, -8) and (4,12) what would the midpoint be? use the…

A:

Q: Find the equation of the line that contains the point (22,27) and is parallel to the x-axis. Write…

A: Given point is (22,27) and since the line is parallel to x-axis, the slope m will become 0.

Q: Find the equation of the line through the points (14,−4) and (1,1). Write your answer in the form…

A: We have to find the equation of the line through the points (14,−4) and (1,1).

Q: Use the slope-intercept form to find the slope and y-intercept of the given line, and sketch its…

A: Given equation is:2x=15-3y We know, equation of a line in slope-intercept is given by: y=mx+c…

Q: Fidn the distance between parallel lines with equations Y=-x+2 and Y=-x+8

A:

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given: x = 2y2-4 To sketch: The graph of the given equation and to label the x - and y - intercepts.…

Q: Find the midpoint of the line segment that joins each pair of points: a) (0, - 3) and (4, 0) b) (-2,…

A: Midpoint of the line joining x1,y1 and x2, y2 is given as,x1+x22,y1+y22

Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: What point on the line y=3x+6 is closest to the​ origin?

A: The point on the line closest to the origin is the foot of perpendicular drawn from origin to the…

Q: In the standard (x, y) coordinate plane, what is the length of the line segment that has endpoints…

A: see 2nd step

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

A:

Q: Which of the following is the y-coordinate for the point that lies on the line y=-3/4x+1 and has an…

A: substitute the  value of x .