Q51. Find the equation of line passing through (2, 1) having slope m = 2 Ops: A. y = 2x - 1 B. y = 5x + 2 C. y = x + 1 D. y = 2x - 3
Question
Q51. Find the equation of line passing through (2, 1) having slope m = 2
Ops: A. y = 2x - 1
B. y = 5x + 2
C. y = x + 1
D. y = 2x - 3
Solution
The equation of a line in slope-intercept form is given by y = mx + c, where m is the slope and c is the y-intercept.
Given that the line passes through the point (2, 1) and has a slope m = 2, we can substitute these values into the equation to find the y-intercept c.
1 = 2*2 + c 1 = 4 + c c = 1 - 4 c = -3
Therefore, the equation of the line is y = 2x - 3.
So, the correct answer is D. y = 2x - 3.
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