What is the equation of the line passing through (0, 0) and (2, 4)? (2019)

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Question: What is the equation of the line passing through (0, 0) and (2, 4)? (2019)

Options:

Correct Answer: y = 2x

Solution:

Slope = (4-0)/(2-0) = 2, so the equation is y = 2x.

What is the equation of the line passing through (0, 0) and (2, 4)? (2019)

What is the equation of the line passing through (0, 0) and (2, 4)? (2019)

Step 1: Identify the two points given: (0, 0) and (2, 4).
Step 2: Use the formula for slope, which is (y2 - y1) / (x2 - x1). Here, (x1, y1) = (0, 0) and (x2, y2) = (2, 4).
Step 3: Substitute the values into the slope formula: (4 - 0) / (2 - 0).
Step 4: Calculate the slope: 4 / 2 = 2.
Step 5: Now that we have the slope (m = 2), use the point-slope form of the equation of a line: y = mx + b.
Step 6: Since the line passes through the origin (0, 0), the y-intercept (b) is 0.
Step 7: Substitute the slope and y-intercept into the equation: y = 2x + 0.
Step 8: Simplify the equation: y = 2x.

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