Question 14 of 70beginner🔧 ApplyVery Short1 mark

In Exercises 1 to 8, find the equation of the line which satisfy the given conditions: Passing through (0,0)(0, 0) with slope mm.

Correct Answer

y = mx

Exercise: EXERCISE 9.2 | Q: 3 | (Page 13)
For More Understanding

Explanation

This question requires finding the equation of a line using the point-slope form. The context provides the point-slope formula: y - y₀ = m(x - x₀), where (x₀, y₀) is a fixed point on the line and m is the slope. Since the line passes through (0, 0), we substitute x₀ = 0 and y₀ = 0 into the formula, giving y - 0 = m(x - 0), which simplifies to y = mx. Alternatively, this can be viewed as a special case of the slope-intercept form y = mx + c where the y-intercept c = 0, since the line passes through the origin.

Solution Steps

  1. Step 1: Identify the given point (0, 0) and slope m.

  2. Step 2: Apply the point-slope form: y - y₀ = m(x - x₀).

  3. Step 3: Substitute x₀ = 0 and y₀ = 0: y - 0 = m(x - 0).

  4. Step 4: Simplify to get the required equation: y = mx.

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