If you had to graph a line by hand, what steps would you take? do you have a ruler and a pencil, and good paper with the Cartesian plain drawn. you have the equation of the line in y=Mx+b form. Assume the line is not vertical or horizontal.  explain the steps in detail and use the correct mathematical terminology

Q: Write the equation of a line that contains the point (1,1) and has m =3.

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Q: Write the equation of the line that contains the poiit (8, -3) and is perpendicular to 4x -3y = 10.…

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Q: Write the equation of a line that contains the point (9,3) and is perpendicular to the x-axis

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Q: Find the equation of the line that is a perpendicular bisector of AB, with the endpoints A(7, 7) and…

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Q: 14) through: (2, 0), parallel to y = 2x

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Q: An equation parallel to the line 4x + 6y = 6 could be?

A: An equation of line parallel have slope same intercepts  different Given equation of line 4x+6y=6

Q: Find the equation of the line with the given description. Parallel toy = 3x - 4, passes through (1,…

A: Given that the required line is parallel to y=3x-4. Note that the slope of line y=3x-4 is 3. It is…

Q: Find an equation of the line that satisfies the given conditions. Through (4,5);  parallel to the…

A: Given, A line is parallel to x-axis. so the slope of the line will be equal to the slope of x-axis…

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: Question: If the lines 2y + 6x = 1 and a y- 5x = 7 are perpendicular, what is the value of a? Also,…

A: We write both lines in y=mx+b form.2y+6x=12y=-6x+1y=-3x+(1/2)Slope of this line =-3

Q: Find the equation of the line which passes through the points P (a, b) and bisect the point of the…

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Q: Give an equation of a vertical line and of a horizontal linethat passes through the point 12, 32 .

A: Give an equation of a vertical line and of a horizontal line that passes through the point  (12,…

Q: Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with…

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Q: Consider the line whose equation is 4x+y−8=0. The slope of any line that is parallel to this line…

A: Given:-  4x + y -8 = 0

Q: The equation of the line is of the form y=mx. what is the value of m ?

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Q: Consider the line whose equation is 2x + y – 6 = 0. The slope of any line that is parallel to this…

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Q: What equation passes the point (1,-2) and represents a line that is parallel to y=-3x -2

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Q: What is an equation of the line that passes through the point (-4, –6) and is perpendicular to the…

A: A straight line is a function with equation of the form ax+by=c. Every line's equation can be…

Q: Write an equation of the line satisfying the following conditions. If possible, write your answer in…

A: Given line is horizontal and passing through (9.5,-6)

Q: Consider the line whose equation is y=−1/6x+4. The slope of any line that is parallel to this line…

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Q: Find the equation and sketch the graph of the following line. Perpendicular to 3x + 4y = 5, passing…

A: The equation of a line in the slope-intercept form is y=mx+c. In this form, the slope is m and the…

Q: Find the exact distance the point p (-2,-4) and the line y=1/3x+2

A: Solution ) y = (1/3)x +2  Slope of perpendicular to this line would be  m = - ( 1/1/3)  m = -3…

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

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Q: Find an equation of the line that satisfies the given conditions. Through (4,5);  parallel to the…

A: The equation of a line parallel to y axis is x = k where k is constant           …..(1) It is given…

Q: Determine the equation of the line that passes through the given points to complete the tabie below.

A: We have to find the equation of lines through the given points.

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: In the form y = mx + b, find the equation of the line that a) contains the points (0, 4) and (2, 6).…

A: Given: a) Points (0, 4) and (2, 6) b) Point (0,-3) and line: y=34x-5 To Find: Equation of line in…

Q: The equation of the line that passes through the two points is

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Q: Explain how you would graph a line if you are given the equation of the line in y = mx + b form

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Q: Find the equation of the line, in standard form, that pases through the points (4,6) and (0,-2).

A: Given data, (x1,y1)=(4,6) (x2,y2)=(0,-2) Slope (m)=y2-y1x2-x1m=-2-60-4m=-8-4m=2

Q: What is an equation of the line that passes through the point (5, 1) and is parallel to the line +y…

A: The detailed solution is as follows below:

Q: It can be shown that the line with intercepts (a, 0) and (0, b) has the following equation. 1, a #…

A: Write the equation of line in intercept form and satisfy the given point.

Q: What is an equation of a line that is perpendicular to y=-3x+6 and passes through (-6,10)

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Q: Consider the line whose equation is y=−16x+4. The slope of any line that is parallel to this line…

A: Given Data: The equation of the given line is: y=-16x+4 ......(1) The slopes of the two parallel…

Q: Find the equation of the line though the point (4,−4) and perpendicular to the line y=4/3x+4. Write…

A: Given:The required line passes through the point (4, –4) and perpendicular to the line y = 4/3x +…

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…

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Q: Find the shortest distance between the lines, x – 3 y – 8 2 – 3 3 -1 1 x +3 y +7 -3 2 4 and find the…

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Q: Find the equation of the line through the points (6/5, 7) and (6,−1). Write your answer in the form…

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Q: Find an equation of the perpendicular bisector of the line segment joining the points A(3,0) and…

A: Given that the two points are A(3, 0) and B(7, –4).The slope of the segment AB is calculated as…

Q: Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1?

A: Given ,   y = 25x - 1 We have to find the equation of line that is perpendicular to the graph of y =…

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: 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: What is an equation of the line that passes through the point (–5, –6) and is parallel to the line x…

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Q: Find the equation of a line which passes through the points ( 6+B, -7) and (4, -(8+B)) in form y =…

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Q: The equation of the line can be written as y= mx +4. What is the value of m?

A: From the graph we can say that the line passes through the points  (2 , 0)and (0 , 4) We know that…

Q: What is the equation of the line containing the perpendicular bisector of AB? B(a,a) O A(0,0) The…

A: Given,  A line segment AB  with A0, 0  and  Ba, a  We have to find the equation of the perpendicular…

Q: Determine the equation of the line that is perpendicular to the given line, through the given…

A: The given equation of the line in the slope-intercept form is:

Q: find the equation of straight line for the following problem, 1- (1,2) and (2,3)

A: The equation of straight line is given by y=mx where m is the slope calculated as m=y2-y1x2-x1…

Q: Given the points (10,−4) and (2,−4)on a line, find the equation of the line.

A: The equation of the line is obtain by y-y1=m(x-x1), where m is the slope. The slope of the equation…

Q: ind the equation of the straight line passing through points4.5 and2.13

A: We have to write the equation of straight lines passing through (4,5) and (2,13)

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.