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.
- Choose the alternative which can replace the bold word without changing the meaning of the sentence.
The lawyer’s trenchant arguments left no roo... To make rude and mocking remarks in a loud voice
- Select the most appropriate synonym of the given word.
Lethargic Select the INCORRECTLY spelt word.
Choose the word opposite in meaning to the given word.
Abundant
He has a voracious appetite for reading.
A job that does not carry any salary.
Select the correct SYNONYM of the given word.
atrocious
Select the most appropriate synonym of the given word.
 Colloquial
To kill two birds with one stoneÂ