What is the reflection of the point (6, -1) in the line y = 2?
(6, 5)
For reflection of a point \((x, y)\) in a horizontal line \(y = k\), the x-coordinate is unchanged and the y-coordinate becomes \(2k - y\).
With \((x, y) = (6, -1)\) and \(k = 2\):
\[y' = 2(2) - (-1) = 4 + 1 = 5\]
Therefore the reflection is (6, 5).
The graphs of the linear equations 4x - 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to:
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
For what value of m will the system of equations 18x - 72y + 13 = 0 and 7x - my - 17 = 0 have no solution?
What is the equation of the line perpendicular to the line 2x + 3y = -6 and having Y-intercept 3?
What is the area (in unit squares) of the triangle enclosed by the graphs of 2x + 5y = 12, x + y = 3 and the x-axis?
The graphs of the equations 3x - 20y - 2 = 0 and 11x - 5y + 61 = 0 intersect at P(a, b). What is the value of (a 2+ b 2- ab)/(a 2- b 2+ ab)?
What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y - 12 = 0, x + y = 3 and y = 0?
What is the reflection of the point (5, -3) in the line y = 3?
The graphs of the equations
\(4x + \frac{1}{3}y = \frac{8}{3}\) and \(\frac{1}{2}x + \frac{3}{4}y + \frac{5}{2} = 0\) intersect at a point P. The point P also lies on the graph of the equation:
What is the area (in unit squares) of the region enclosed by the graphs of the equations
2x – 3y + 6 = 0, 4x + y = 16 and y = 0?
The graphs of the linear equations 4x - 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to:
In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
In which quadrant both abscissa and ordinate are negative?
Find the slope of the line joining the points (3, -4) and (5, 2).