Y-Intercept Calculator

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Rise divided by run. Positive slopes go up left to right; negative slopes go down.
Y-intercept (b)Crosses below the origin
-2
X-intercept1
Slope (m)2
Slope-intercept equationy = 2x - 2
Standard form2x - y + -2 = 0

The line crosses the y-axis at the point (0, -2).

  • The y-intercept is b = y - m*x: with slope m = 2 the line crosses the y-axis at the point (0, -2).
  • In slope-intercept form the line is y = 2x - 2.
  • The x-intercept (where y = 0) is at x = 1, meaning (1, 0).
  • You can verify: plug x = 0 into y = mx + b and you get y = b, confirming the y-intercept directly.

Next stepBoth intercepts are now known: y-intercept (0, -2) and x-intercept (1, 0). Two points are enough to graph the full line.

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