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Mathematics
Grade-8
Easy
Question
Identify the equation of the line in general form when the slope is 0.6, and the y-intercept is 0.4
3x + 5y + 2 = 0
3x + 5y – 2 = 0
3x – 5y + 2 = 0
3x – 5y – 2 = 0
Hint:
Equation of a line can be written as- 1. y = mx + b (Slope point form, where m = slope and b = y-intercept) 2. ax + by + c = 0 (general form)
The correct answer is: 3x – 5y + 2 = 0
GIVEN- Slope = m = 0.6 y-intercept = b = 0.4 TO FIND- Equation of the line in general form i.e. ax + by + c = 0 SOLUTION- We know that equation of a line in slope point form is- y = mx + b ∴ y = 0.6 x + 0.4 ........................ (From given information) ∴ 5y = 0.6x * 5 + 0.4 * 5 .............. (Multiplying both sides by 5) ∴ 5y = 3x + 2 ∴ 0 = 3x - 5y + 2 FINAL ANSWER- Option 'c' i.e. '3x - 5y + 2 = 0' is the correct answer to the given question.