Straight Lines

Maths · Class 11

Simulation · Maths · Class 11

Slope and intercepts of y = mx + c

"Slope and intercepts of y = mx + c" is a free, interactive Class 11 Maths simulation for JEE, built on the lesson "Slope from two points" in Straight Lines. M is the slope: the dashed step shows the line rising m for every 1 to the right. c is where the line meets the y-axis. Change both and watch the inclination and the x-intercept. In y = mx + c, m = tan θ sets the steepness and c the height at which the line crosses the y-axis. The x-intercept is −c/m, and there is none when m = 0. JEE Main asked 42 questions from this chapter across the 42 shifts Lumi has analysed (2017–2026).

From the lesson Slope from two points in Straight Lines. Change the values and watch what happens.

Slope and intercepts of y = mx + cMaths · Class 11

In JEE Main

42 shifts analysed

42 questions from Straight Lines across the 42 JEE Main shifts Lumi has analysed (2017–2026).

See the past questions

The idea behind it

NCERT §9.2.1

  • A non-vertical line through P(x₁, y₁) and Q(x₂, y₂) has slope m = (y₂ − y₁)/(x₂ − x₁), with x₁ ≠ x₂. The same result holds whether the inclination is acute or obtuse.
  • The order of the points does not matter, as long as it is the same in top and bottom: from (1, 2) to (4, 8) the slope is 6/3 = 2, and from (4, 8) to (1, 2) it is (−6)/(−3) = 2.
  • Through (3, −2) and (−1, 4): m = 6/(−4) = −3/2. Through (3, −2) and (7, −2): m = 0/4 = 0, a horizontal line.
  • Through (3, −2) and (3, 4) the run x₂ − x₁ is 0, so the slope is not defined: the line is vertical.
  • Three points A, B, C are collinear exactly when the slope of AB equals the slope of BC. For (1, 1), (2, 3), (4, 7) both slopes are 2.

Questions

3 answers

What does the "Slope and intercepts of y = mx + c" simulation show?
M is the slope: the dashed step shows the line rising m for every 1 to the right. c is where the line meets the y-axis. Change both and watch the inclination and the x-intercept.
Does JEE Main ask questions from Straight Lines?
Yes. JEE Main asked 42 questions from this chapter across the 42 shifts Lumi has analysed (2017–2026).
Is this simulation free?
Yes. It is free and runs in the browser on a phone or a laptop. It belongs to the lesson "Slope from two points" in Straight Lines (Class 11 Maths).

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