Show that (km) is the number of paths in a square grid from (0,0) to the point (m,n) on the diagonal d with equation y = k - 2x.

Q: Consider the line 15x+16y=16 what is the y-intercept of the parallel line through (16,16).

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Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: x- - Consider the equations 2x + 4y = 8 and y = 10. Select the point where the graphs of these two…

A: Point of intersection is the point which lies on both lines, simply they are values of x and y that…

Q: (1,6) and perpendicular to 2x+7y=1

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Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: Find all the possible points of intersections of 9x2 + 4y2 + 18x – 16y = 0 and (x + 1)2 + (y– 2)² =…

A: Given curves: 9x2+4y2+18x-16y=0   ········(i)x+12+y-22=5         ········(ii) From equation (ii)…

Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: The Line (L2) that pass through point (-2,1) and perpendicular to the Line (L1)=y= 0.5x +2, Fill in…

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Q: iv) through (1, 6) and parallel to y = 4x - 6

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Q: Find the missing value in the coordinate points: (2, -1) (x,3) & (11, 11) whose line is a collinear

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Q: Is the line through the points (3, 4) and (-1, 2) parallel to the line 2x + 3y = 0? Justify your…

A: Given two points: 3, 4 and -1, 2            ……1   Given line: 2x+3y=0                       ……2

Q: Find a point whose coordinates are integers and whose distance from (3, 2) is √41

A: To find:   a point whose coordinates are integers and whose distance from (3, 2) is √41 Consider the…

Q: Oy=3x(x - 2), x = 0, x = 2 Oy=3(x - 2), x = 2 Oy=3(x-2)(x + 2), x = -2, x = 2 Oy = 3x (x² - 2x), x =…

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Q: Find x- and y- intercepts of: 2x+4y+8=0

A: Consider the given equation:

Q: Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

A: To Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…

Q: i 6i + 2j+ 2k + 2(i- 2j+2k) Find the shortest distance between lines -4i -i + 4(3i - 2)- 2k) and

A: The given lines are as follows- r→=6i^+2j^+λi^-2j^+2k^          ........(1)r→=-4i^-k^+μ3i^-2j^-2k^…

Q: 2) Find the equation of the line having y-intercept (0, 5) and x-intercept (10, 0).

A: Given points are:                          y- intercept (0, 5)                          x- intercept…

Q: The graph of y=-3x + 19 passes through (1, -8a) in the standard (x, y) coordinate plane. What is the…

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Q: Find equations for the followingineF - The line through y and parallel to Z-axis

A: To find the equation of the line that passes through 1, 1, 1 and parallel to the z‐axis.