Question
Find the equation of the line passing through the points
P(2, 3) and Q(4, 7).Solution
To find the equation of the line, we first calculate the slope m using the formula: m = (y2 - y1) / (x2 - x1) Substituting the coordinates of points P and Q: x1 = 2, y1 = 3, x2 = 4, y2 = 7: m = (7 - 3) / (4 - 2) = 4 / 2 = 2 Now, using the point-slope form of the equation: y - y1 = m(x - x1) Substituting m, x1, and y1: y - 3 = 2(x - 2) y - 3 = 2x - 4 y = 2x - 1 Thus, the equation of the line is: Correct Answer: b) y = 2x - 1.
Find the missing number in the given number series.
2, 5, 11, 23, 47, ?418, 406, 430, 382, 478, ?, 670
1 12 31 58 93 ?
What will come in place of the question mark (?) in the following series?
92, 153, 220, ?, 364, 443
13 19 32 52 ? 113
250 Â Â Â 25 Â Â Â Â 5 Â Â Â Â ? Â Â Â Â 0.6 Â Â Â Â Â 0.3
10, 15, 25, 35, ?, 65
What will come in place of the question mark (?) in the following series?
2, 5, 14, 41, 122, 365, ?
4    11     22     ?      56    79    106
...48, 24.5, ?, 39.75, 81.5, 206.25, 621.75
