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

  1. 3x + 5y + 2 = 0
  2. 3x + 5y – 2 = 0
  3. 3x – 5y + 2 = 0
  4. 3x – 5y – 2 = 0

hintHint:

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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