Here’s and example of a SMART MATH problem for GEOMETRY.
Problem
Find the equation of a line with slope –4 and passing through the point (4, 5).
- x + y = 9
- x + 4y = 11
- 4x + y = 21
- 3x + 2y = 10
- 5x + y = 30
The Usual Method
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Using the point slope form of equation of a straight line, we get:
(Ans: 3)
Estimated Time to arrive at the answer = 30 seconds.
Using Technique
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We already know the slope intercept form as y = mx + c.
The slope here is given as –4.
Thus, y = –4x + c or 4x + y = c
Thus, the coefficient of x should be 4.
Only option ‘3’ satisfies this condition and hence it is the answer.
(Ans: 3)
Estimated Time to arrive at the answer = 5 seconds.
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