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📐 Mathematics  ·  Straight Lines  ·  JEE

What is the y-intercept of y = 3x + 7?

Answer: 7.

  • A 3
  • B 7
  • C -7
  • D 0

Correct answer: B. 7

Explanation: In y = mx + c, c is the y-intercept. Here c = 7. Line crosses y-axis at (0,7).

Slope as Rise over Runxy(x₁,y₁)(x₂,y₂)run = x₂−x₁rise = y₂−y₁m = rise/run = (y₂−y₁)/(x₂−x₁) = tanθ

The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.

Concept context

Points, lines, and curves on the Cartesian plane

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