Exercises 1-4: Find the point-slope form of the line passing through the given points. Use the first point as (x1, yı). Plot the points and graph the line by hand. 1. (1,2). (3, –2) 2. (-2, 3), (1, 0) 3. (-3, –1), (1, 2) 4. (-1, 2). (–2, –3)

Q: . Find the distance of point C(0,-1,2) from the line passing through points A(-2,2,4) and B(1,2,3).

A: Here we will find out the required value of distance.

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

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Q: The intercept form of the line with a slope equal to -3/8 and passes through the point (5, 6) is y…

A: Topic = Coordinate geometry

Q: Find the point slope equation of the line through the points (-4, -1) and (2,3). O y- 3 = 2/3(x - 2)…

A: We can find the answer as below

Q: 3. Find the equation of the line with slope-2 that passes through the point (1,-3)

A: Since you have posted multiple questions we will answer first question only. If you want any…

Q: Calculate the slope, if defined, of the straight line through the given pair of points.  (4, 3) and…

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Q: 1 Graph the line with slope passing through the point (2, 3). 2

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Q: Find the equation of a line in point slope form that is perpendicular to 5x – y-3 0 and contains the…

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Q: What is the slope intercept form of the line passing through points (3,4) and (5,8)

A: The slope intercept form is y = mx+cThe given points are (3 , 4) and (5 , 8)

Q: 5. Find the equation of the line in slope- intercept form containing the points 2 4 and (0,2).

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Q: Write a slope-intercept equation for a line with the given characteristics. 3 0. m = -3.5,…

A: Given :m=-3.5y-intercept0,34To determine the slope-intercept equation of the given line .

Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: 3. Find the equation of the line with slope 2 and containing the point (-1,1), then 5 m = graph the…

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Q: Draw the line through (- 1, 5) so that it has slope m =

A: We have to draw the equation of line passing through point -1, 5 and it has slope m=-23. We know the…

Q: What is an equation of a line (in point-slope form) that passes through the points (-5,1) and (3,4)?…

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Q: In Exercises 25–27, use the given conditions to write an equation for each line in point-slope form…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: use the description of the pair of lines given below to find the slope of line 1 and line 2.  line…

A: Line 1: passes through (0,8) and (3,-25). Slope between two points:  Slope m=y2-y1x2-x1x1, y1=0, 8,…

Q: What is the equation, in point-slope form, of the line that is parallel to the given line and passes…

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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: Find the equation of the line that contains the points (-4, 2) and (2, 1). Express the equation in…

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Q: 2. Find the equation of the line containing the points in slope-intercept form. and

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Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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Q: 6. Find the point-slope form of the line passing through the points (-3,4) and (3,–7).

A: We will find the equation of line in point-slope form as following.

Q: Consider the following. Point (5/12,-1), Line 7x-5y=35. Write the slope-intercept form of the…

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Q: Compute the y-intercept of a line passing through the point (5,3) and a slope of ¾. a. -3/4    b.…

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Q: Consider the line graphed on the coordinate plane. -10 10 -101 Which line has a greater slope than…

A: Geometry

Q: Find thw equation of the line joining the points (5,9) and (-4,-6)

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Q: Write the point-slope form of the equation of the line using the given information. 11) through:…

A: 11> we know that the equation of line in pointslope form  is(y-y1) = m(x-x1)  -(1) where mis the…

Q: Find the value of y if the line through the two given points is to have the indicated slope : (3, y)…

A: Given, slope; m = -3 Points  x1,y1=3,yx2,y2=1,4

Q: Find an equation in point-slope y – y, = m(x-x,) for the line through the given points. (- 4, – 9)…

A: Given points  (-4,-9) and (1,6) equation in point-slope y-y₁ = m(x-x₁)  Where m=(y2-y1)/(x2-x1)

Q: Write a slope intercepet equation for a line passing throught point (5,-4) that is parrallel to the…

A: Given,

Q: What is the point-slope form of a line with slope that contains the point (-1,2)? ○ A. y+ 2 = (x +…

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Q: Identify the equation of the line that is perpendicular to the line y = -x - 1 and passes through…

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Q: B. Find the slope of the line that contains the given points. 1. (3, 1) and (4, 7) 2. (-2, 6) and…

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Q: Find the point slope equation of the line through the points (-4,1) and (2,3). O y-1= 1/3(x- 4) O…

A: The equation of line passing through the points x1,y1 and x2,y2 is given by: y-y1=y2-y1x2-x1(x-x1)

Q: (우시) Find an equation of the line such that the points 7.4 and ,3 are on the line.

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Q: Exercises 21-50: Find the slope-intercept form for the line satisfying the conditions. 21. Passing…

A: 21). To find the slope-intercept form of the line passing through points -1,-4 and (1,2). Solution:…

Q: Find the equation of the line using the given information. (x, y) = (−4, 0)  and  (x, y) = (−4, 8)…

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Q: Sketch a line passing through the point and having slope m.  (0,6), m=-3

A: We have given(x0,y0) = (0,6)  m = -3

Q: Find the slopes of the lines containing: a) (3, – 5) and (-1,2) b) (-2, – 3) and (-5, –7) c) (2V2,…

A: "Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: What is the equation in slope-intercept form of a line that'is perpendicular to y= z+ 2 and passes…

A: Slope intercept form: y = mx + c Where m is slope

Q: Given the line passes through the two points (1,-1) and (-3,1), what is the slope?

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Q: What is the slope of the line that’s passes through the points (3,5) and (-1,5)?

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Q: A new high school math project is being tested in the state. In the first year (year 1), there are…

A: Solution

Q: Write the equation of the line that passes through the points (1, –4) and (4, –5) Put yo answer in…

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Q: Write an equation of the line in point-slope form that passes through the points (x, y) = (0, 2) and…

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Q: 3. Find the equation of the line with slope m=- and containing the point (-1,1), then 5 graph the…

A: Firstly we have to find the standard form of the equation then draw the graph from that.