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How to Calculate Y-Intercept.
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How to Calculate Y-Intercept.

Rosemary Njeri

Y Intercept is the point where a line or curve crosses the y-axis of a graph or in other words where x=0.

Knowledge of the y intercept can be used when graphing lines or when writing an equation in slope-intercept form.

Formula to calculate y-intercept.

We get the y-intercept by using the equation of a straight line which is;

y = mx + b

Where;

  • m is the gradient of the slope
  • b is the y-intercept.

We can use the following formula to calculate the y-intercept.

y – a = m ( x – b )

a and b being a point on a line.

Example:

Suppose you have a straight line whose gradient is 3 and a point 2,1, calculate its y-intercept.

Since the y-intercept is when x=0, therefore;

y – 2 = 3 ( x – 1 )

y – 2 = 3x – 1

y = 3x – 1

Therefore, the number that has replaced b is -1, which means that -1 is the y-intercept.

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