How to Find the Y-Intercept of a Graph

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    • 1). Rearrange the equation of the line until it is in standard y = mx + b form, also known as slope-intercept form. For the equation 3y - 6x = 9, divide all of the terms by 3 and then add 2x to each side. This would produce the equation y = 2x + 3.

    • 2). Identify the number that is by itself, i.e. the coefficient that is not next to an "x." This coefficient, including the positive or negative sign, is b. So, for example, if the equation of a line is y = 2x + 3, its b value would be 3. If the equation is y = 2x - 3, its b value would be -3.

    • 3). Write "(0, b)" with "b" being the b-value calculated in the previous step. The b value is the second number listed in the coordinates because "b" is the y coordinate of the y-intercept and coordinates are always listed with the x coordinate first and the y coordinate second. The x coordinate of the y-intercept is always zero. Therefore, the y-intercept is located at (0, b). If the equation of a line is y = 2x + 3, it would have a y-intercept at (0, 3).

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