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.
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