Graph the following points in a coordinate plane. (a) (2,4) (b) (-1, 3) (c) (3, – 1) (d) (0,0) (e) (5, 0) (f) (0, -1)

Q: What will be the axis of symmetry, the line about which a figure or curve is upon itself, between…

A: Given :   y=4x-2

Q: Find the equation of the line that passes through the point (-2,1,1) and that is parallel to the…

A:

Q: 2. Find the equation of the line that passes through the points of intersection of the curves y“ = x…

A: We plug x=y2 in…

Q: 4) Find the equation of the straight line, L', passing through the point P(2,3, -1) and (a) parallel…

A: Given Line L : x-12=y+13=z-2 is parallel to direction vector l→=2i^+3j^+k^ Required line is passing…

Q: Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point…

A: Given,            Equation of the line is y = -6x + 3 and point =-1, 4

Q: 2. Find the equation of the line (a). Through (1,3) with m = -2; (b). x-intercept -2, y-intercept 4;…

A: we know that equation of line is :  y - y1 = m ( x - x1 )

Q: Find the shortest distance from the point x = (-3, 0, -12)  to the line r = t(0, -2, -2).

A:

Q: Find the equation of the line passing through the point (2, 3) and parallel to the x-axis.

A: Given that the line is parallel to x-axis it implies the slope of the line will be equal to zero.…

Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: Given that line passes through point A and having x-intercepts = 4 and y-intercepts = -3

Q: Find the equation of the line containing the point P(4, 5) and parallel to the graph of 4x + y = −1.

A: We first find the slope of 4x+y=-1y=-4x-1compare this with y=mx+bm=-4slope=-4

Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

A:

Q: Find the equation of the line containing the point (6, 1) and perpendicular to the line y=-5x+2. O…

A: Solve by slope form of line

Q: Find the equation of the line containing the point (6, 1) and perpendicular to the line y =-5x+2. 1…

A: Answer is mentioned below

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

A:

Q: 6.) Find the equation of the line perpendicular to 2y – 8x = 24 which also passes through the point…

A: Concept : The product of the slope of the two perpendicular line is -1 Given, the equation of the…

Q: Q1/ Find the equation of a line passing through (1,2) orthogonal to the line passing through (2,…

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Q: Find the equation of the line passing through the point (2, 1) and that is perpendicular to the line…

A:

Q: 3. Find the standard form for the equation of the line which passes through the point (3, –2) and…

A: FORMULA : General equation of any staright line => y = mx +c TO CALCULATE : m & c GIVEN : c

Q: Find the midpoint of points A(-9,7) and B(1, 10) graphically.

A: We will use section formula to find solution to the problem .

Q: Find the point on the line y = x + 1 that is closest to the point (4, 1).

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

Q: 1. Find the equation of the line passing through the point perpendicular to the line 5x + 3y = 5. 3…

A: Given equation of the line5x+3y=53y=-5x+5y=-53x+53 which is theform of y=mx+b whereslope of the line…

Q: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: Find the equation of the line containing the point (5, 1) and perpendicular to the line y=-4x+2. 1 O…

A:

Q: find (y" ) for the following equation 3x²-2y'-y=6 at point (2,1)

A: Take the first derivative of the whole term than find y' at given point after this calculate second…

Q: Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line of…

A: Given equation of planes arex+2y+z = 8x+y-z = 2Firstly, determine the intersection lines of two…

Q: Find the points on x=3-y^2 that are closest to the given point (1,0)

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Q: Find the equation of the line perpendicular to 8x + 2y = 1 passing through the point (4, Y = -X

A:

Q: Find the point on the x-axis that is equidistant from the points (0,−1) and (5,−3)

A: To find the coordinates of the point satisfying the given conditions

Q: Determine the equation of the line in explicit form y=mx+b passing through the two points (-2,3) and…

A:

Q: Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line…

A: The  equation passes through the point (4,2) and is perpendicular to 2x + 3y – 3=0.

Q: Find the image of the point (1,2) in the straight line 3x+4y-1=0

A:

Q: The equation of the line that goes through the point (1,1) and is perpendicular to the line 4x+4y=4…

A: Given,           The equation of the line that goes through the point (1,1) and is perpendicular to…

Q: Find the equation of a line that is parallel to the line m graphed and passes through the point (3,…

A: The slope point form of equation of line is y-y1=mx-x1,where  m  is the slope of the line and x1,y1…

Q: 11. Find the equation of the line that is perpendicular to the line y-x+4 and passes through the…

A: The equation y=-12x+4 is of the form y=mx+c. Thus, slope -12.

Q: Find the standard form for the equation of the line which passes through the point (5, –19) and…

A:

Q: find the equation of the line passing through the point ( 2,3) and perpendicular to the line 2y = 6…

A: In the given question it is required to calculate the equation of line passing through (2,3) and…

Q: Find the equation of the line that 2 is perpendicular to y = -x and contains the point (4,-8). %3D 3

A: If two lines are perpendicular then the product of their slopes is -1. The required line is…

Q: the

A: We will find the point.

Q: 8. Find the equation of the line passing through the point (4, 5) and perpendicular to the line 3y =…

A:

Q: Graph the equation onto the coordinate plane below. y = - 2x 3 10- t. 5- 2 10 -9 -8 -7 -6 -5 -4 -3…

A: The coordinate plane can be used to plot points and graph lines. This system allows us to describe…

Q: Find the equation of the line in standard form (ax+by=c) that passes through the following points…

A: Explanation of the solution is given below...

Q: If I was given a line of y=(-1/2)x+1 and y=-x+5 how would I find out where they intersect?

A:

Q: 14. Find the equation for the line that passes through the point (4, 1) and is perpendicular to the…

A: As we know that the equation of the line slope intercept form is: y=mx+c Where 'm' is the slope and…

Q: Find an equation of the line satisfying the following conditions. Through point (1, –5);…

A:

Q: Find the equation of the line passing through the point (- 3,1,4 ) and parallel to the z-axis

A: here is parallel to z axis  means direction point are (0,0,1) line equation is (x-a)/0 =(y-b)/0…

Q: find an equation of the line l that passes through the point (-2,9) and satisfies the condition l…

A: Here we find the equation of the line l that passes throughthe point -2,9 and satisfies the…

Q: Write an equation for the line through the point (1,3) parallel to the line y = x + 10. Oy=z O y =…

A: Given query is to find the Indicated line.