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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