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What is the equation of the line passing through the points (1, 2) and (3, 6)?
What is the equation of the line passing through the points (1, 2) and (3, 6)?
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Practice Questions
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Q1
What is the equation of the line passing through the points (1, 2) and (3, 6)?
y = 2x
y = 3x - 1
y = x + 1
y = 4x - 2
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The slope m = (6 - 2) / (3 - 1) = 2. Using point-slope form, y - 2 = 2(x - 1) gives y = 2x.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the equation of the line passing through the points (1, 2) and (3, 6)?
Solution:
The slope m = (6 - 2) / (3 - 1) = 2. Using point-slope form, y - 2 = 2(x - 1) gives y = 2x.
Steps: 8
Show Steps
Step 1: Identify the two points given: (1, 2) and (3, 6).
Step 2: Use the formula for slope (m) which is (y2 - y1) / (x2 - x1). Here, (x1, y1) = (1, 2) and (x2, y2) = (3, 6).
Step 3: Substitute the values into the slope formula: m = (6 - 2) / (3 - 1).
Step 4: Calculate the slope: m = 4 / 2 = 2.
Step 5: Use the point-slope form of the equation: y - y1 = m(x - x1). Here, use point (1, 2) and slope m = 2.
Step 6: Substitute the values into the point-slope form: y - 2 = 2(x - 1).
Step 7: Simplify the equation: y - 2 = 2x - 2.
Step 8: Add 2 to both sides to solve for y: y = 2x.
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